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Finding the Fourth Proportional to 502,870.28, 754,145.03 and 165,848.11

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Solution

The fourth proportional to 502,870.28, 754,145.03 and 165,848.11 is: 248,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,870.28 : 754,145.03 = 165,848.11 : x
  2. Step 2: Convert to fraction form
    502,870.28/754,145.03 = 165,848.11/x
  3. Step 3: Cross multiply
    502,870.28x = 754,145.03 × 165,848.11
  4. Step 4: Simplify right side
    502,870.28x = 125,073,526,420.65
  5. Step 5: Solve for x
    x = 125,073,526,420.65/502,870.28
  6. Step 6: Final answer
    x = 248,719.27

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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.