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Finding the Fourth Proportional to 502,296.90, 753,549.15 and 165,357.77

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Solution

The fourth proportional to 502,296.90, 753,549.15 and 165,357.77 is: 248,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,296.90 : 753,549.15 = 165,357.77 : x
  2. Step 2: Convert to fraction form
    502,296.90/753,549.15 = 165,357.77/x
  3. Step 3: Cross multiply
    502,296.90x = 753,549.15 × 165,357.77
  4. Step 4: Simplify right side
    502,296.90x = 124,605,203,261.65
  5. Step 5: Solve for x
    x = 124,605,203,261.65/502,296.90
  6. Step 6: Final answer
    x = 248,070.82

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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.