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Finding the Fourth Proportional to 283,046.40, 424,569.60 and 183,319.20

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Solution

The fourth proportional to 283,046.40, 424,569.60 and 183,319.20 is: 274,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,046.40 : 424,569.60 = 183,319.20 : x
  2. Step 2: Convert to fraction form
    283,046.40/424,569.60 = 183,319.20/x
  3. Step 3: Cross multiply
    283,046.40x = 424,569.60 × 183,319.20
  4. Step 4: Simplify right side
    283,046.40x = 77,831,759,416.32
  5. Step 5: Solve for x
    x = 77,831,759,416.32/283,046.40
  6. Step 6: Final answer
    x = 274,978.80

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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.