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Finding the Fourth Proportional to 385,798.46, 532,541.62 and 314,053.92

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Solution

The fourth proportional to 385,798.46, 532,541.62 and 314,053.92 is: 433,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,798.46 : 532,541.62 = 314,053.92 : x
  2. Step 2: Convert to fraction form
    385,798.46/532,541.62 = 314,053.92/x
  3. Step 3: Cross multiply
    385,798.46x = 532,541.62 × 314,053.92
  4. Step 4: Simplify right side
    385,798.46x = 167,246,783,324.15
  5. Step 5: Solve for x
    x = 167,246,783,324.15/385,798.46
  6. Step 6: Final answer
    x = 433,508.17

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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.