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Finding the Fourth Proportional to 471,952.48, 707,454.69 and 151,869.10

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Solution

The fourth proportional to 471,952.48, 707,454.69 and 151,869.10 is: 227,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,952.48 : 707,454.69 = 151,869.10 : x
  2. Step 2: Convert to fraction form
    471,952.48/707,454.69 = 151,869.10/x
  3. Step 3: Cross multiply
    471,952.48x = 707,454.69 × 151,869.10
  4. Step 4: Simplify right side
    471,952.48x = 107,440,506,681.41
  5. Step 5: Solve for x
    x = 107,440,506,681.41/471,952.48
  6. Step 6: Final answer
    x = 227,651.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.