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Finding the Fourth Proportional to 497,176.80, 746,348.40 and 493,677.60

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Solution

The fourth proportional to 497,176.80, 746,348.40 and 493,677.60 is: 741,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,176.80 : 746,348.40 = 493,677.60 : x
  2. Step 2: Convert to fraction form
    497,176.80/746,348.40 = 493,677.60/x
  3. Step 3: Cross multiply
    497,176.80x = 746,348.40 × 493,677.60
  4. Step 4: Simplify right side
    497,176.80x = 368,455,486,875.84
  5. Step 5: Solve for x
    x = 368,455,486,875.84/497,176.80
  6. Step 6: Final answer
    x = 741,095.50

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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.