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Finding the Fourth Proportional to 315,910.22, 473,598.75 and 147,341.72

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Solution

The fourth proportional to 315,910.22, 473,598.75 and 147,341.72 is: 220,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,910.22 : 473,598.75 = 147,341.72 : x
  2. Step 2: Convert to fraction form
    315,910.22/473,598.75 = 147,341.72/x
  3. Step 3: Cross multiply
    315,910.22x = 473,598.75 × 147,341.72
  4. Step 4: Simplify right side
    315,910.22x = 69,780,852,046.86
  5. Step 5: Solve for x
    x = 69,780,852,046.86/315,910.22
  6. Step 6: Final answer
    x = 220,888.24

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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.