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Finding the Fourth Proportional to 696,898.29, 961,603.06 and 410,475.41

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Solution

The fourth proportional to 696,898.29, 961,603.06 and 410,475.41 is: 566,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,898.29 : 961,603.06 = 410,475.41 : x
  2. Step 2: Convert to fraction form
    696,898.29/961,603.06 = 410,475.41/x
  3. Step 3: Cross multiply
    696,898.29x = 961,603.06 × 410,475.41
  4. Step 4: Simplify right side
    696,898.29x = 394,714,410,310.76
  5. Step 5: Solve for x
    x = 394,714,410,310.76/696,898.29
  6. Step 6: Final answer
    x = 566,387.40

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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.