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Finding the Fourth Proportional to 322,959, 484,516.80 and 101,343

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Solution

The fourth proportional to 322,959, 484,516.80 and 101,343 is: 152,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,959 : 484,516.80 = 101,343 : x
  2. Step 2: Convert to fraction form
    322,959/484,516.80 = 101,343/x
  3. Step 3: Cross multiply
    322,959x = 484,516.80 × 101,343
  4. Step 4: Simplify right side
    322,959x = 49,102,386,062.40
  5. Step 5: Solve for x
    x = 49,102,386,062.40/322,959
  6. Step 6: Final answer
    x = 152,039.07

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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.