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Finding the Fourth Proportional to 431,031.70, 646,547.55 and 164,800.90

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Solution

The fourth proportional to 431,031.70, 646,547.55 and 164,800.90 is: 247,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,031.70 : 646,547.55 = 164,800.90 : x
  2. Step 2: Convert to fraction form
    431,031.70/646,547.55 = 164,800.90/x
  3. Step 3: Cross multiply
    431,031.70x = 646,547.55 × 164,800.90
  4. Step 4: Simplify right side
    431,031.70x = 106,551,618,132.80
  5. Step 5: Solve for x
    x = 106,551,618,132.80/431,031.70
  6. Step 6: Final answer
    x = 247,201.35

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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.