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Finding the Fourth Proportional to 519,714.20, 779,502.04 and 164,764.10

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Solution

The fourth proportional to 519,714.20, 779,502.04 and 164,764.10 is: 247,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,714.20 : 779,502.04 = 164,764.10 : x
  2. Step 2: Convert to fraction form
    519,714.20/779,502.04 = 164,764.10/x
  3. Step 3: Cross multiply
    519,714.20x = 779,502.04 × 164,764.10
  4. Step 4: Simplify right side
    519,714.20x = 128,433,952,068.76
  5. Step 5: Solve for x
    x = 128,433,952,068.76/519,714.20
  6. Step 6: Final answer
    x = 247,124.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.