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Finding the Fourth Proportional to 497,376.40, 746,064.60 and 164,909.20

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Solution

The fourth proportional to 497,376.40, 746,064.60 and 164,909.20 is: 247,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,376.40 : 746,064.60 = 164,909.20 : x
  2. Step 2: Convert to fraction form
    497,376.40/746,064.60 = 164,909.20/x
  3. Step 3: Cross multiply
    497,376.40x = 746,064.60 × 164,909.20
  4. Step 4: Simplify right side
    497,376.40x = 123,032,916,334.32
  5. Step 5: Solve for x
    x = 123,032,916,334.32/497,376.40
  6. Step 6: Final answer
    x = 247,363.80

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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.