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Finding the Fourth Proportional to 518,815.50, 715,976.33 and 292,461

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Solution

The fourth proportional to 518,815.50, 715,976.33 and 292,461 is: 403,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,815.50 : 715,976.33 = 292,461 : x
  2. Step 2: Convert to fraction form
    518,815.50/715,976.33 = 292,461/x
  3. Step 3: Cross multiply
    518,815.50x = 715,976.33 × 292,461
  4. Step 4: Simplify right side
    518,815.50x = 209,395,151,985.83
  5. Step 5: Solve for x
    x = 209,395,151,985.83/518,815.50
  6. Step 6: Final answer
    x = 403,602.34

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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.