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Finding the Fourth Proportional to 650,312.64, 975,226.52 and 223,729.20

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Solution

The fourth proportional to 650,312.64, 975,226.52 and 223,729.20 is: 335,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,312.64 : 975,226.52 = 223,729.20 : x
  2. Step 2: Convert to fraction form
    650,312.64/975,226.52 = 223,729.20/x
  3. Step 3: Cross multiply
    650,312.64x = 975,226.52 × 223,729.20
  4. Step 4: Simplify right side
    650,312.64x = 218,186,649,138.38
  5. Step 5: Solve for x
    x = 218,186,649,138.38/650,312.64
  6. Step 6: Final answer
    x = 335,510.39

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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.