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Finding the Fourth Proportional to 972,832.32, 1,459,252.80 and 298,908

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Solution

The fourth proportional to 972,832.32, 1,459,252.80 and 298,908 is: 448,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,832.32 : 1,459,252.80 = 298,908 : x
  2. Step 2: Convert to fraction form
    972,832.32/1,459,252.80 = 298,908/x
  3. Step 3: Cross multiply
    972,832.32x = 1,459,252.80 × 298,908
  4. Step 4: Simplify right side
    972,832.32x = 436,182,335,942.40
  5. Step 5: Solve for x
    x = 436,182,335,942.40/972,832.32
  6. Step 6: Final answer
    x = 448,363.33

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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.