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Finding the Fourth Proportional to 386,314.60, 579,471.90 and 102,004.60

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Solution

The fourth proportional to 386,314.60, 579,471.90 and 102,004.60 is: 153,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,314.60 : 579,471.90 = 102,004.60 : x
  2. Step 2: Convert to fraction form
    386,314.60/579,471.90 = 102,004.60/x
  3. Step 3: Cross multiply
    386,314.60x = 579,471.90 × 102,004.60
  4. Step 4: Simplify right side
    386,314.60x = 59,108,799,370.74
  5. Step 5: Solve for x
    x = 59,108,799,370.74/386,314.60
  6. Step 6: Final answer
    x = 153,006.90

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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.