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Finding the Fourth Proportional to 820,778.16, 1,132,693.02 and 514,867.49

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Solution

The fourth proportional to 820,778.16, 1,132,693.02 and 514,867.49 is: 710,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,778.16 : 1,132,693.02 = 514,867.49 : x
  2. Step 2: Convert to fraction form
    820,778.16/1,132,693.02 = 514,867.49/x
  3. Step 3: Cross multiply
    820,778.16x = 1,132,693.02 × 514,867.49
  4. Step 4: Simplify right side
    820,778.16x = 583,186,806,484.46
  5. Step 5: Solve for x
    x = 583,186,806,484.46/820,778.16
  6. Step 6: Final answer
    x = 710,529.15

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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.