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Finding the Fourth Proportional to 410,833.40, 616,250.10 and 115,345.40

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Solution

The fourth proportional to 410,833.40, 616,250.10 and 115,345.40 is: 173,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,833.40 : 616,250.10 = 115,345.40 : x
  2. Step 2: Convert to fraction form
    410,833.40/616,250.10 = 115,345.40/x
  3. Step 3: Cross multiply
    410,833.40x = 616,250.10 × 115,345.40
  4. Step 4: Simplify right side
    410,833.40x = 71,081,614,284.54
  5. Step 5: Solve for x
    x = 71,081,614,284.54/410,833.40
  6. Step 6: Final answer
    x = 173,018.10

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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.