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Finding the Fourth Proportional to 402,049.60, 602,855.70 and 165,416.20

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Solution

The fourth proportional to 402,049.60, 602,855.70 and 165,416.20 is: 248,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,049.60 : 602,855.70 = 165,416.20 : x
  2. Step 2: Convert to fraction form
    402,049.60/602,855.70 = 165,416.20/x
  3. Step 3: Cross multiply
    402,049.60x = 602,855.70 × 165,416.20
  4. Step 4: Simplify right side
    402,049.60x = 99,722,099,042.34
  5. Step 5: Solve for x
    x = 99,722,099,042.34/402,049.60
  6. Step 6: Final answer
    x = 248,034.32

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1.5x scale

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.