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Finding the Fourth Proportional to 523,905.60, 785,298.88 and 298,781.28

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Solution

The fourth proportional to 523,905.60, 785,298.88 and 298,781.28 is: 447,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,905.60 : 785,298.88 = 298,781.28 : x
  2. Step 2: Convert to fraction form
    523,905.60/785,298.88 = 298,781.28/x
  3. Step 3: Cross multiply
    523,905.60x = 785,298.88 × 298,781.28
  4. Step 4: Simplify right side
    523,905.60x = 234,632,604,548.97
  5. Step 5: Solve for x
    x = 234,632,604,548.97/523,905.60
  6. Step 6: Final answer
    x = 447,852.83

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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.