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Finding the Fourth Proportional to 650,018.12, 975,149.22 and 295,057.10

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Solution

The fourth proportional to 650,018.12, 975,149.22 and 295,057.10 is: 442,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,018.12 : 975,149.22 = 295,057.10 : x
  2. Step 2: Convert to fraction form
    650,018.12/975,149.22 = 295,057.10/x
  3. Step 3: Cross multiply
    650,018.12x = 975,149.22 × 295,057.10
  4. Step 4: Simplify right side
    650,018.12x = 287,724,700,920.46
  5. Step 5: Solve for x
    x = 287,724,700,920.46/650,018.12
  6. Step 6: Final answer
    x = 442,641.05

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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.