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Finding the Fourth Proportional to 315,584.45, 435,510.01 and 172,348.71

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Solution

The fourth proportional to 315,584.45, 435,510.01 and 172,348.71 is: 237,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,584.45 : 435,510.01 = 172,348.71 : x
  2. Step 2: Convert to fraction form
    315,584.45/435,510.01 = 172,348.71/x
  3. Step 3: Cross multiply
    315,584.45x = 435,510.01 × 172,348.71
  4. Step 4: Simplify right side
    315,584.45x = 75,059,588,415.59
  5. Step 5: Solve for x
    x = 75,059,588,415.59/315,584.45
  6. Step 6: Final answer
    x = 237,843.11

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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.