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Finding the Fourth Proportional to 283,140.64, 424,244.16 and 164,478.88

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Solution

The fourth proportional to 283,140.64, 424,244.16 and 164,478.88 is: 246,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,140.64 : 424,244.16 = 164,478.88 : x
  2. Step 2: Convert to fraction form
    283,140.64/424,244.16 = 164,478.88/x
  3. Step 3: Cross multiply
    283,140.64x = 424,244.16 × 164,478.88
  4. Step 4: Simplify right side
    283,140.64x = 69,779,204,283.34
  5. Step 5: Solve for x
    x = 69,779,204,283.34/283,140.64
  6. Step 6: Final answer
    x = 246,447.15

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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.