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Finding the Fourth Proportional to 584,308.40, 878,003.80 and 314,635.92

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Solution

The fourth proportional to 584,308.40, 878,003.80 and 314,635.92 is: 472,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,308.40 : 878,003.80 = 314,635.92 : x
  2. Step 2: Convert to fraction form
    584,308.40/878,003.80 = 314,635.92/x
  3. Step 3: Cross multiply
    584,308.40x = 878,003.80 × 314,635.92
  4. Step 4: Simplify right side
    584,308.40x = 276,251,533,376.50
  5. Step 5: Solve for x
    x = 276,251,533,376.50/584,308.40
  6. Step 6: Final answer
    x = 472,783.78

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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.