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Finding the Fourth Proportional to 584,307.40, 878,002.30 and 314,634.92

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Solution

The fourth proportional to 584,307.40, 878,002.30 and 314,634.92 is: 472,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,307.40 : 878,002.30 = 314,634.92 : x
  2. Step 2: Convert to fraction form
    584,307.40/878,002.30 = 314,634.92/x
  3. Step 3: Cross multiply
    584,307.40x = 878,002.30 × 314,634.92
  4. Step 4: Simplify right side
    584,307.40x = 276,250,181,847.14
  5. Step 5: Solve for x
    x = 276,250,181,847.14/584,307.40
  6. Step 6: Final answer
    x = 472,782.27

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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.