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Finding the Fourth Proportional to 384,001.60, 575,829.60 and 147,265.60

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Solution

The fourth proportional to 384,001.60, 575,829.60 and 147,265.60 is: 220,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,001.60 : 575,829.60 = 147,265.60 : x
  2. Step 2: Convert to fraction form
    384,001.60/575,829.60 = 147,265.60/x
  3. Step 3: Cross multiply
    384,001.60x = 575,829.60 × 147,265.60
  4. Step 4: Simplify right side
    384,001.60x = 84,799,891,541.76
  5. Step 5: Solve for x
    x = 84,799,891,541.76/384,001.60
  6. Step 6: Final answer
    x = 220,832.13

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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.