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Finding the Fourth Proportional to 497,643.20, 746,637.60 and 217,361.60

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Solution

The fourth proportional to 497,643.20, 746,637.60 and 217,361.60 is: 326,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,643.20 : 746,637.60 = 217,361.60 : x
  2. Step 2: Convert to fraction form
    497,643.20/746,637.60 = 217,361.60/x
  3. Step 3: Cross multiply
    497,643.20x = 746,637.60 × 217,361.60
  4. Step 4: Simplify right side
    497,643.20x = 162,290,343,356.16
  5. Step 5: Solve for x
    x = 162,290,343,356.16/497,643.20
  6. Step 6: Final answer
    x = 326,117.88

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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.