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Finding the Fourth Proportional to 315,566.69, 473,354.21 and 105,204.69

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Solution

The fourth proportional to 315,566.69, 473,354.21 and 105,204.69 is: 157,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,566.69 : 473,354.21 = 105,204.69 : x
  2. Step 2: Convert to fraction form
    315,566.69/473,354.21 = 105,204.69/x
  3. Step 3: Cross multiply
    315,566.69x = 473,354.21 × 105,204.69
  4. Step 4: Simplify right side
    315,566.69x = 49,799,083,186.26
  5. Step 5: Solve for x
    x = 49,799,083,186.26/315,566.69
  6. Step 6: Final answer
    x = 157,808.43

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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.