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Finding the Fourth Proportional to 283,314.40, 424,971.60 and 158,639.20

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Solution

The fourth proportional to 283,314.40, 424,971.60 and 158,639.20 is: 237,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,314.40 : 424,971.60 = 158,639.20 : x
  2. Step 2: Convert to fraction form
    283,314.40/424,971.60 = 158,639.20/x
  3. Step 3: Cross multiply
    283,314.40x = 424,971.60 × 158,639.20
  4. Step 4: Simplify right side
    283,314.40x = 67,417,154,646.72
  5. Step 5: Solve for x
    x = 67,417,154,646.72/283,314.40
  6. Step 6: Final answer
    x = 237,958.80

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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.