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Finding the Fourth Proportional to 502,815.45, 754,022.70 and 165,762.30

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Solution

The fourth proportional to 502,815.45, 754,022.70 and 165,762.30 is: 248,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,815.45 : 754,022.70 = 165,762.30 : x
  2. Step 2: Convert to fraction form
    502,815.45/754,022.70 = 165,762.30/x
  3. Step 3: Cross multiply
    502,815.45x = 754,022.70 × 165,762.30
  4. Step 4: Simplify right side
    502,815.45x = 124,988,537,004.21
  5. Step 5: Solve for x
    x = 124,988,537,004.21/502,815.45
  6. Step 6: Final answer
    x = 248,577.36

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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.