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Finding the Fourth Proportional to 471,402.60, 648,892.53 and 410,868.06

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Solution

The fourth proportional to 471,402.60, 648,892.53 and 410,868.06 is: 565,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,402.60 : 648,892.53 = 410,868.06 : x
  2. Step 2: Convert to fraction form
    471,402.60/648,892.53 = 410,868.06/x
  3. Step 3: Cross multiply
    471,402.60x = 648,892.53 × 410,868.06
  4. Step 4: Simplify right side
    471,402.60x = 266,609,214,949.59
  5. Step 5: Solve for x
    x = 266,609,214,949.59/471,402.60
  6. Step 6: Final answer
    x = 565,565.86

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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.