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Finding the Fourth Proportional to 315,440.92, 473,223.14 and 115,762.76

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Solution

The fourth proportional to 315,440.92, 473,223.14 and 115,762.76 is: 173,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,440.92 : 473,223.14 = 115,762.76 : x
  2. Step 2: Convert to fraction form
    315,440.92/473,223.14 = 115,762.76/x
  3. Step 3: Cross multiply
    315,440.92x = 473,223.14 × 115,762.76
  4. Step 4: Simplify right side
    315,440.92x = 54,781,616,782.27
  5. Step 5: Solve for x
    x = 54,781,616,782.27/315,440.92
  6. Step 6: Final answer
    x = 173,666.81

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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.