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Finding the Fourth Proportional to 374,818.92, 517,254.16 and 205,049.40

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Solution

The fourth proportional to 374,818.92, 517,254.16 and 205,049.40 is: 282,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,818.92 : 517,254.16 = 205,049.40 : x
  2. Step 2: Convert to fraction form
    374,818.92/517,254.16 = 205,049.40/x
  3. Step 3: Cross multiply
    374,818.92x = 517,254.16 × 205,049.40
  4. Step 4: Simplify right side
    374,818.92x = 106,062,655,155.50
  5. Step 5: Solve for x
    x = 106,062,655,155.50/374,818.92
  6. Step 6: Final answer
    x = 282,970.39

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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.