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Finding the Fourth Proportional to 366,865.40, 550,298.10 and 260,577.20

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Solution

The fourth proportional to 366,865.40, 550,298.10 and 260,577.20 is: 390,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,865.40 : 550,298.10 = 260,577.20 : x
  2. Step 2: Convert to fraction form
    366,865.40/550,298.10 = 260,577.20/x
  3. Step 3: Cross multiply
    366,865.40x = 550,298.10 × 260,577.20
  4. Step 4: Simplify right side
    366,865.40x = 143,395,138,063.32
  5. Step 5: Solve for x
    x = 143,395,138,063.32/366,865.40
  6. Step 6: Final answer
    x = 390,865.80

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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.