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Finding the Fourth Proportional to 256,587.60, 384,881.40 and 242,072.40

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Solution

The fourth proportional to 256,587.60, 384,881.40 and 242,072.40 is: 363,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,587.60 : 384,881.40 = 242,072.40 : x
  2. Step 2: Convert to fraction form
    256,587.60/384,881.40 = 242,072.40/x
  3. Step 3: Cross multiply
    256,587.60x = 384,881.40 × 242,072.40
  4. Step 4: Simplify right side
    256,587.60x = 93,169,164,213.36
  5. Step 5: Solve for x
    x = 93,169,164,213.36/256,587.60
  6. Step 6: Final answer
    x = 363,108.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.