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Finding the Fourth Proportional to 502,547.81, 753,914.06 and 165,608.33

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Solution

The fourth proportional to 502,547.81, 753,914.06 and 165,608.33 is: 248,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,547.81 : 753,914.06 = 165,608.33 : x
  2. Step 2: Convert to fraction form
    502,547.81/753,914.06 = 165,608.33/x
  3. Step 3: Cross multiply
    502,547.81x = 753,914.06 × 165,608.33
  4. Step 4: Simplify right side
    502,547.81x = 124,854,447,612.08
  5. Step 5: Solve for x
    x = 124,854,447,612.08/502,547.81
  6. Step 6: Final answer
    x = 248,442.92

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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.