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Finding the Fourth Proportional to 432,810.59, 597,309.52 and 239,214.16

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Solution

The fourth proportional to 432,810.59, 597,309.52 and 239,214.16 is: 330,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,810.59 : 597,309.52 = 239,214.16 : x
  2. Step 2: Convert to fraction form
    432,810.59/597,309.52 = 239,214.16/x
  3. Step 3: Cross multiply
    432,810.59x = 597,309.52 × 239,214.16
  4. Step 4: Simplify right side
    432,810.59x = 142,884,892,100.26
  5. Step 5: Solve for x
    x = 142,884,892,100.26/432,810.59
  6. Step 6: Final answer
    x = 330,132.62

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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.