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Finding the Fourth Proportional to 402,047.60, 602,852.70 and 165,414.20

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Solution

The fourth proportional to 402,047.60, 602,852.70 and 165,414.20 is: 248,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,047.60 : 602,852.70 = 165,414.20 : x
  2. Step 2: Convert to fraction form
    402,047.60/602,852.70 = 165,414.20/x
  3. Step 3: Cross multiply
    402,047.60x = 602,852.70 × 165,414.20
  4. Step 4: Simplify right side
    402,047.60x = 99,720,397,088.34
  5. Step 5: Solve for x
    x = 99,720,397,088.34/402,047.60
  6. Step 6: Final answer
    x = 248,031.32

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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.