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Finding the Fourth Proportional to 696,901.30, 961,607.20 and 410,478.40

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Solution

The fourth proportional to 696,901.30, 961,607.20 and 410,478.40 is: 566,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,901.30 : 961,607.20 = 410,478.40 : x
  2. Step 2: Convert to fraction form
    696,901.30/961,607.20 = 410,478.40/x
  3. Step 3: Cross multiply
    696,901.30x = 961,607.20 × 410,478.40
  4. Step 4: Simplify right side
    696,901.30x = 394,718,984,884.48
  5. Step 5: Solve for x
    x = 394,718,984,884.48/696,901.30
  6. Step 6: Final answer
    x = 566,391.52

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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.