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Finding the Fourth Proportional to 711,927.92, 982,411.17 and 406,017.24

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Solution

The fourth proportional to 711,927.92, 982,411.17 and 406,017.24 is: 560,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,927.92 : 982,411.17 = 406,017.24 : x
  2. Step 2: Convert to fraction form
    711,927.92/982,411.17 = 406,017.24/x
  3. Step 3: Cross multiply
    711,927.92x = 982,411.17 × 406,017.24
  4. Step 4: Simplify right side
    711,927.92x = 398,875,871,788.57
  5. Step 5: Solve for x
    x = 398,875,871,788.57/711,927.92
  6. Step 6: Final answer
    x = 560,275.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.