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Finding the Fourth Proportional to 502,056.29, 753,108.63 and 165,089.48

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Solution

The fourth proportional to 502,056.29, 753,108.63 and 165,089.48 is: 247,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,056.29 : 753,108.63 = 165,089.48 : x
  2. Step 2: Convert to fraction form
    502,056.29/753,108.63 = 165,089.48/x
  3. Step 3: Cross multiply
    502,056.29x = 753,108.63 × 165,089.48
  4. Step 4: Simplify right side
    502,056.29x = 124,330,308,344.67
  5. Step 5: Solve for x
    x = 124,330,308,344.67/502,056.29
  6. Step 6: Final answer
    x = 247,642.17

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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.