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Finding the Fourth Proportional to 584,805.40, 876,041.70 and 407,512.60

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Solution

The fourth proportional to 584,805.40, 876,041.70 and 407,512.60 is: 610,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,805.40 : 876,041.70 = 407,512.60 : x
  2. Step 2: Convert to fraction form
    584,805.40/876,041.70 = 407,512.60/x
  3. Step 3: Cross multiply
    584,805.40x = 876,041.70 × 407,512.60
  4. Step 4: Simplify right side
    584,805.40x = 356,998,030,875.42
  5. Step 5: Solve for x
    x = 356,998,030,875.42/584,805.40
  6. Step 6: Final answer
    x = 610,456.11

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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.