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Finding the Fourth Proportional to 338,325.17, 506,085.21 and 257,753.48

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Solution

The fourth proportional to 338,325.17, 506,085.21 and 257,753.48 is: 385,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,325.17 : 506,085.21 = 257,753.48 : x
  2. Step 2: Convert to fraction form
    338,325.17/506,085.21 = 257,753.48/x
  3. Step 3: Cross multiply
    338,325.17x = 506,085.21 × 257,753.48
  4. Step 4: Simplify right side
    338,325.17x = 130,445,221,523.61
  5. Step 5: Solve for x
    x = 130,445,221,523.61/338,325.17
  6. Step 6: Final answer
    x = 385,561.69

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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.