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Finding the Fourth Proportional to 410,978.01, 616,220.64 and 170,802.21

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Solution

The fourth proportional to 410,978.01, 616,220.64 and 170,802.21 is: 256,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,978.01 : 616,220.64 = 170,802.21 : x
  2. Step 2: Convert to fraction form
    410,978.01/616,220.64 = 170,802.21/x
  3. Step 3: Cross multiply
    410,978.01x = 616,220.64 × 170,802.21
  4. Step 4: Simplify right side
    410,978.01x = 105,251,847,159.61
  5. Step 5: Solve for x
    x = 105,251,847,159.61/410,978.01
  6. Step 6: Final answer
    x = 256,100.92

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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.