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Finding the Fourth Proportional to 354,499.90, 532,095.45 and 177,207.10

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Solution

The fourth proportional to 354,499.90, 532,095.45 and 177,207.10 is: 265,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,499.90 : 532,095.45 = 177,207.10 : x
  2. Step 2: Convert to fraction form
    354,499.90/532,095.45 = 177,207.10/x
  3. Step 3: Cross multiply
    354,499.90x = 532,095.45 × 177,207.10
  4. Step 4: Simplify right side
    354,499.90x = 94,291,091,617.70
  5. Step 5: Solve for x
    x = 94,291,091,617.70/354,499.90
  6. Step 6: Final answer
    x = 265,983.41

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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.