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Finding the Fourth Proportional to 577,415.40, 866,123.10 and 519,678.60

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Solution

The fourth proportional to 577,415.40, 866,123.10 and 519,678.60 is: 779,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,415.40 : 866,123.10 = 519,678.60 : x
  2. Step 2: Convert to fraction form
    577,415.40/866,123.10 = 519,678.60/x
  3. Step 3: Cross multiply
    577,415.40x = 866,123.10 × 519,678.60
  4. Step 4: Simplify right side
    577,415.40x = 450,105,640,035.66
  5. Step 5: Solve for x
    x = 450,105,640,035.66/577,415.40
  6. Step 6: Final answer
    x = 779,517.90

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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.