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Finding the Fourth Proportional to 502,784.47, 754,016.80 and 165,762.37

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Solution

The fourth proportional to 502,784.47, 754,016.80 and 165,762.37 is: 248,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,784.47 : 754,016.80 = 165,762.37 : x
  2. Step 2: Convert to fraction form
    502,784.47/754,016.80 = 165,762.37/x
  3. Step 3: Cross multiply
    502,784.47x = 754,016.80 × 165,762.37
  4. Step 4: Simplify right side
    502,784.47x = 124,987,611,787.82
  5. Step 5: Solve for x
    x = 124,987,611,787.82/502,784.47
  6. Step 6: Final answer
    x = 248,590.84

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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.