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Finding the Fourth Proportional to 532,149.76, 797,800.81 and 307,255.08

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Solution

The fourth proportional to 532,149.76, 797,800.81 and 307,255.08 is: 460,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,149.76 : 797,800.81 = 307,255.08 : x
  2. Step 2: Convert to fraction form
    532,149.76/797,800.81 = 307,255.08/x
  3. Step 3: Cross multiply
    532,149.76x = 797,800.81 × 307,255.08
  4. Step 4: Simplify right side
    532,149.76x = 245,128,351,700.62
  5. Step 5: Solve for x
    x = 245,128,351,700.62/532,149.76
  6. Step 6: Final answer
    x = 460,637.91

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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.