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Finding the Fourth Proportional to 469,909.45, 704,943.76 and 162,077.86

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Solution

The fourth proportional to 469,909.45, 704,943.76 and 162,077.86 is: 243,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,909.45 : 704,943.76 = 162,077.86 : x
  2. Step 2: Convert to fraction form
    469,909.45/704,943.76 = 162,077.86/x
  3. Step 3: Cross multiply
    469,909.45x = 704,943.76 × 162,077.86
  4. Step 4: Simplify right side
    469,909.45x = 114,255,776,821.04
  5. Step 5: Solve for x
    x = 114,255,776,821.04/469,909.45
  6. Step 6: Final answer
    x = 243,144.24

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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.