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Finding the Fourth Proportional to 517,898.94, 714,689.54 and 288,455.52

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Solution

The fourth proportional to 517,898.94, 714,689.54 and 288,455.52 is: 398,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,898.94 : 714,689.54 = 288,455.52 : x
  2. Step 2: Convert to fraction form
    517,898.94/714,689.54 = 288,455.52/x
  3. Step 3: Cross multiply
    517,898.94x = 714,689.54 × 288,455.52
  4. Step 4: Simplify right side
    517,898.94x = 206,156,141,045.41
  5. Step 5: Solve for x
    x = 206,156,141,045.41/517,898.94
  6. Step 6: Final answer
    x = 398,062.49

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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.