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Finding the Fourth Proportional to 471,702.89, 707,665.01 and 134,748.36

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Solution

The fourth proportional to 471,702.89, 707,665.01 and 134,748.36 is: 202,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,702.89 : 707,665.01 = 134,748.36 : x
  2. Step 2: Convert to fraction form
    471,702.89/707,665.01 = 134,748.36/x
  3. Step 3: Cross multiply
    471,702.89x = 707,665.01 × 134,748.36
  4. Step 4: Simplify right side
    471,702.89x = 95,356,698,853.14
  5. Step 5: Solve for x
    x = 95,356,698,853.14/471,702.89
  6. Step 6: Final answer
    x = 202,154.15

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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.