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Finding the Fourth Proportional to 315,295.83, 435,117.42 and 172,065.08

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Solution

The fourth proportional to 315,295.83, 435,117.42 and 172,065.08 is: 237,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,295.83 : 435,117.42 = 172,065.08 : x
  2. Step 2: Convert to fraction form
    315,295.83/435,117.42 = 172,065.08/x
  3. Step 3: Cross multiply
    315,295.83x = 435,117.42 × 172,065.08
  4. Step 4: Simplify right side
    315,295.83x = 74,868,514,769.49
  5. Step 5: Solve for x
    x = 74,868,514,769.49/315,295.83
  6. Step 6: Final answer
    x = 237,454.82

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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.