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Finding the Fourth Proportional to 502,533.25, 753,892.21 and 165,593.77

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Solution

The fourth proportional to 502,533.25, 753,892.21 and 165,593.77 is: 248,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,533.25 : 753,892.21 = 165,593.77 : x
  2. Step 2: Convert to fraction form
    502,533.25/753,892.21 = 165,593.77/x
  3. Step 3: Cross multiply
    502,533.25x = 753,892.21 × 165,593.77
  4. Step 4: Simplify right side
    502,533.25x = 124,839,851,549.79
  5. Step 5: Solve for x
    x = 124,839,851,549.79/502,533.25
  6. Step 6: Final answer
    x = 248,421.08

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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.