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Finding the Fourth Proportional to 256,001.60, 384,002.40 and 241,486.40

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Solution

The fourth proportional to 256,001.60, 384,002.40 and 241,486.40 is: 362,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,001.60 : 384,002.40 = 241,486.40 : x
  2. Step 2: Convert to fraction form
    256,001.60/384,002.40 = 241,486.40/x
  3. Step 3: Cross multiply
    256,001.60x = 384,002.40 × 241,486.40
  4. Step 4: Simplify right side
    256,001.60x = 92,731,357,167.36
  5. Step 5: Solve for x
    x = 92,731,357,167.36/256,001.60
  6. Step 6: Final answer
    x = 362,229.60

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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.