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Finding the Fourth Proportional to 497,727.60, 748,434.60 and 416,626.80

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Solution

The fourth proportional to 497,727.60, 748,434.60 and 416,626.80 is: 626,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,727.60 : 748,434.60 = 416,626.80 : x
  2. Step 2: Convert to fraction form
    497,727.60/748,434.60 = 416,626.80/x
  3. Step 3: Cross multiply
    497,727.60x = 748,434.60 × 416,626.80
  4. Step 4: Simplify right side
    497,727.60x = 311,817,912,407.28
  5. Step 5: Solve for x
    x = 311,817,912,407.28/497,727.60
  6. Step 6: Final answer
    x = 626,483.07

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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.