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Finding the Fourth Proportional to 469,417.14, 647,792.10 and 254,557.62

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Solution

The fourth proportional to 469,417.14, 647,792.10 and 254,557.62 is: 351,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,417.14 : 647,792.10 = 254,557.62 : x
  2. Step 2: Convert to fraction form
    469,417.14/647,792.10 = 254,557.62/x
  3. Step 3: Cross multiply
    469,417.14x = 647,792.10 × 254,557.62
  4. Step 4: Simplify right side
    469,417.14x = 164,900,415,230.80
  5. Step 5: Solve for x
    x = 164,900,415,230.80/469,417.14
  6. Step 6: Final answer
    x = 351,287.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.