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Finding the Fourth Proportional to 315,651.92, 473,479.68 and 105,289.24

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Solution

The fourth proportional to 315,651.92, 473,479.68 and 105,289.24 is: 157,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,651.92 : 473,479.68 = 105,289.24 : x
  2. Step 2: Convert to fraction form
    315,651.92/473,479.68 = 105,289.24/x
  3. Step 3: Cross multiply
    315,651.92x = 473,479.68 × 105,289.24
  4. Step 4: Simplify right side
    315,651.92x = 49,852,315,662.64
  5. Step 5: Solve for x
    x = 49,852,315,662.64/315,651.92
  6. Step 6: Final answer
    x = 157,934.46

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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.