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Finding the Fourth Proportional to 296,486.16, 444,833.64 and 197,041.20

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Solution

The fourth proportional to 296,486.16, 444,833.64 and 197,041.20 is: 295,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,486.16 : 444,833.64 = 197,041.20 : x
  2. Step 2: Convert to fraction form
    296,486.16/444,833.64 = 197,041.20/x
  3. Step 3: Cross multiply
    296,486.16x = 444,833.64 × 197,041.20
  4. Step 4: Simplify right side
    296,486.16x = 87,650,554,225.97
  5. Step 5: Solve for x
    x = 87,650,554,225.97/296,486.16
  6. Step 6: Final answer
    x = 295,631.18

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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.