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Finding the Fourth Proportional to 502,477.91, 753,554.87 and 165,438.30

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Solution

The fourth proportional to 502,477.91, 753,554.87 and 165,438.30 is: 248,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,477.91 : 753,554.87 = 165,438.30 : x
  2. Step 2: Convert to fraction form
    502,477.91/753,554.87 = 165,438.30/x
  3. Step 3: Cross multiply
    502,477.91x = 753,554.87 × 165,438.30
  4. Step 4: Simplify right side
    502,477.91x = 124,666,835,822.33
  5. Step 5: Solve for x
    x = 124,666,835,822.33/502,477.91
  6. Step 6: Final answer
    x = 248,104.11

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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.