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Finding the Fourth Proportional to 299,411.53, 413,132.63 and 170,342.47

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Solution

The fourth proportional to 299,411.53, 413,132.63 and 170,342.47 is: 235,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,411.53 : 413,132.63 = 170,342.47 : x
  2. Step 2: Convert to fraction form
    299,411.53/413,132.63 = 170,342.47/x
  3. Step 3: Cross multiply
    299,411.53x = 413,132.63 × 170,342.47
  4. Step 4: Simplify right side
    299,411.53x = 70,374,030,566.13
  5. Step 5: Solve for x
    x = 70,374,030,566.13/299,411.53
  6. Step 6: Final answer
    x = 235,041.15

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