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Finding the Fourth Proportional to 696,225.48, 960,718.92 and 409,728.48

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Solution

The fourth proportional to 696,225.48, 960,718.92 and 409,728.48 is: 565,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,225.48 : 960,718.92 = 409,728.48 : x
  2. Step 2: Convert to fraction form
    696,225.48/960,718.92 = 409,728.48/x
  3. Step 3: Cross multiply
    696,225.48x = 960,718.92 × 409,728.48
  4. Step 4: Simplify right side
    696,225.48x = 393,633,902,798.84
  5. Step 5: Solve for x
    x = 393,633,902,798.84/696,225.48
  6. Step 6: Final answer
    x = 565,382.79

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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.