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Finding the Fourth Proportional to 349,547.76, 482,371.34 and 196,585.92

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Solution

The fourth proportional to 349,547.76, 482,371.34 and 196,585.92 is: 271,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,547.76 : 482,371.34 = 196,585.92 : x
  2. Step 2: Convert to fraction form
    349,547.76/482,371.34 = 196,585.92/x
  3. Step 3: Cross multiply
    349,547.76x = 482,371.34 × 196,585.92
  4. Step 4: Simplify right side
    349,547.76x = 94,827,413,655.53
  5. Step 5: Solve for x
    x = 94,827,413,655.53/349,547.76
  6. Step 6: Final answer
    x = 271,286.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.