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Finding the Fourth Proportional to 497,792.80, 746,980.80 and 182,281.60

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Solution

The fourth proportional to 497,792.80, 746,980.80 and 182,281.60 is: 273,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,792.80 : 746,980.80 = 182,281.60 : x
  2. Step 2: Convert to fraction form
    497,792.80/746,980.80 = 182,281.60/x
  3. Step 3: Cross multiply
    497,792.80x = 746,980.80 × 182,281.60
  4. Step 4: Simplify right side
    497,792.80x = 136,160,855,393.28
  5. Step 5: Solve for x
    x = 136,160,855,393.28/497,792.80
  6. Step 6: Final answer
    x = 273,529.18

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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.