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Finding the Fourth Proportional to 322,953.10, 484,373.76 and 98,259.10

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Solution

The fourth proportional to 322,953.10, 484,373.76 and 98,259.10 is: 147,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,953.10 : 484,373.76 = 98,259.10 : x
  2. Step 2: Convert to fraction form
    322,953.10/484,373.76 = 98,259.10/x
  3. Step 3: Cross multiply
    322,953.10x = 484,373.76 × 98,259.10
  4. Step 4: Simplify right side
    322,953.10x = 47,594,129,721.22
  5. Step 5: Solve for x
    x = 47,594,129,721.22/322,953.10
  6. Step 6: Final answer
    x = 147,371.65

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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.