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Finding the Fourth Proportional to 502,014.60, 753,054.60 and 164,965.08

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Solution

The fourth proportional to 502,014.60, 753,054.60 and 164,965.08 is: 247,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,014.60 : 753,054.60 = 164,965.08 : x
  2. Step 2: Convert to fraction form
    502,014.60/753,054.60 = 164,965.08/x
  3. Step 3: Cross multiply
    502,014.60x = 753,054.60 × 164,965.08
  4. Step 4: Simplify right side
    502,014.60x = 124,227,712,333.37
  5. Step 5: Solve for x
    x = 124,227,712,333.37/502,014.60
  6. Step 6: Final answer
    x = 247,458.37

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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.