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Finding the Fourth Proportional to 497,409.60, 746,164.80 and 160,363.20

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Solution

The fourth proportional to 497,409.60, 746,164.80 and 160,363.20 is: 240,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409.60 : 746,164.80 = 160,363.20 : x
  2. Step 2: Convert to fraction form
    497,409.60/746,164.80 = 160,363.20/x
  3. Step 3: Cross multiply
    497,409.60x = 746,164.80 × 160,363.20
  4. Step 4: Simplify right side
    497,409.60x = 119,657,375,055.36
  5. Step 5: Solve for x
    x = 119,657,375,055.36/497,409.60
  6. Step 6: Final answer
    x = 240,561.05

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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.