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Finding the Fourth Proportional to 650,038.12, 975,179.22 and 295,077.04

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Solution

The fourth proportional to 650,038.12, 975,179.22 and 295,077.04 is: 442,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,038.12 : 975,179.22 = 295,077.04 : x
  2. Step 2: Convert to fraction form
    650,038.12/975,179.22 = 295,077.04/x
  3. Step 3: Cross multiply
    650,038.12x = 975,179.22 × 295,077.04
  4. Step 4: Simplify right side
    650,038.12x = 287,752,997,707.11
  5. Step 5: Solve for x
    x = 287,752,997,707.11/650,038.12
  6. Step 6: Final answer
    x = 442,670.96

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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.