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Finding the Fourth Proportional to 402,116.16, 602,944.56 and 165,264

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Solution

The fourth proportional to 402,116.16, 602,944.56 and 165,264 is: 247,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,116.16 : 602,944.56 = 165,264 : x
  2. Step 2: Convert to fraction form
    402,116.16/602,944.56 = 165,264/x
  3. Step 3: Cross multiply
    402,116.16x = 602,944.56 × 165,264
  4. Step 4: Simplify right side
    402,116.16x = 99,645,029,763.84
  5. Step 5: Solve for x
    x = 99,645,029,763.84/402,116.16
  6. Step 6: Final answer
    x = 247,801.60

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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.