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Finding the Fourth Proportional to 353,109.10, 529,663.65 and 314,401.90

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Solution

The fourth proportional to 353,109.10, 529,663.65 and 314,401.90 is: 471,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,109.10 : 529,663.65 = 314,401.90 : x
  2. Step 2: Convert to fraction form
    353,109.10/529,663.65 = 314,401.90/x
  3. Step 3: Cross multiply
    353,109.10x = 529,663.65 × 314,401.90
  4. Step 4: Simplify right side
    353,109.10x = 166,527,257,920.94
  5. Step 5: Solve for x
    x = 166,527,257,920.94/353,109.10
  6. Step 6: Final answer
    x = 471,602.85

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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.