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Finding the Fourth Proportional to 518,348.17, 715,323.80 and 288,920.02

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Solution

The fourth proportional to 518,348.17, 715,323.80 and 288,920.02 is: 398,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,348.17 : 715,323.80 = 288,920.02 : x
  2. Step 2: Convert to fraction form
    518,348.17/715,323.80 = 288,920.02/x
  3. Step 3: Cross multiply
    518,348.17x = 715,323.80 × 288,920.02
  4. Step 4: Simplify right side
    518,348.17x = 206,671,366,602.48
  5. Step 5: Solve for x
    x = 206,671,366,602.48/518,348.17
  6. Step 6: Final answer
    x = 398,711.48

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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.