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Finding the Fourth Proportional to 708,524.64, 977,715.09 and 398,473.65

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Solution

The fourth proportional to 708,524.64, 977,715.09 and 398,473.65 is: 549,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,524.64 : 977,715.09 = 398,473.65 : x
  2. Step 2: Convert to fraction form
    708,524.64/977,715.09 = 398,473.65/x
  3. Step 3: Cross multiply
    708,524.64x = 977,715.09 × 398,473.65
  4. Step 4: Simplify right side
    708,524.64x = 389,593,700,572.38
  5. Step 5: Solve for x
    x = 389,593,700,572.38/708,524.64
  6. Step 6: Final answer
    x = 549,866.13

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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.