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Finding the Fourth Proportional to 385,798.39, 532,541.53 and 314,053.86

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Solution

The fourth proportional to 385,798.39, 532,541.53 and 314,053.86 is: 433,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,798.39 : 532,541.53 = 314,053.86 : x
  2. Step 2: Convert to fraction form
    385,798.39/532,541.53 = 314,053.86/x
  3. Step 3: Cross multiply
    385,798.39x = 532,541.53 × 314,053.86
  4. Step 4: Simplify right side
    385,798.39x = 167,246,720,444.10
  5. Step 5: Solve for x
    x = 167,246,720,444.10/385,798.39
  6. Step 6: Final answer
    x = 433,508.08

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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.