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Finding the Fourth Proportional to 581,996.40, 872,533.80 and 319,340.40

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Solution

The fourth proportional to 581,996.40, 872,533.80 and 319,340.40 is: 478,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,996.40 : 872,533.80 = 319,340.40 : x
  2. Step 2: Convert to fraction form
    581,996.40/872,533.80 = 319,340.40/x
  3. Step 3: Cross multiply
    581,996.40x = 872,533.80 × 319,340.40
  4. Step 4: Simplify right side
    581,996.40x = 278,635,292,705.52
  5. Step 5: Solve for x
    x = 278,635,292,705.52/581,996.40
  6. Step 6: Final answer
    x = 478,757.76

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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.