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Finding the Fourth Proportional to 502,298.84, 753,364.56 and 165,343.16

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Solution

The fourth proportional to 502,298.84, 753,364.56 and 165,343.16 is: 247,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,298.84 : 753,364.56 = 165,343.16 : x
  2. Step 2: Convert to fraction form
    502,298.84/753,364.56 = 165,343.16/x
  3. Step 3: Cross multiply
    502,298.84x = 753,364.56 × 165,343.16
  4. Step 4: Simplify right side
    502,298.84x = 124,563,676,982.41
  5. Step 5: Solve for x
    x = 124,563,676,982.41/502,298.84
  6. Step 6: Final answer
    x = 247,987.19

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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.