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Finding the Fourth Proportional to 256,029.60, 384,044.40 and 145,437.60

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Solution

The fourth proportional to 256,029.60, 384,044.40 and 145,437.60 is: 218,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,029.60 : 384,044.40 = 145,437.60 : x
  2. Step 2: Convert to fraction form
    256,029.60/384,044.40 = 145,437.60/x
  3. Step 3: Cross multiply
    256,029.60x = 384,044.40 × 145,437.60
  4. Step 4: Simplify right side
    256,029.60x = 55,854,495,829.44
  5. Step 5: Solve for x
    x = 55,854,495,829.44/256,029.60
  6. Step 6: Final answer
    x = 218,156.40

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1.5x scale

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.