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Finding the Fourth Proportional to 291,973.80, 437,960.70 and 165,565.20

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Solution

The fourth proportional to 291,973.80, 437,960.70 and 165,565.20 is: 248,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,973.80 : 437,960.70 = 165,565.20 : x
  2. Step 2: Convert to fraction form
    291,973.80/437,960.70 = 165,565.20/x
  3. Step 3: Cross multiply
    291,973.80x = 437,960.70 × 165,565.20
  4. Step 4: Simplify right side
    291,973.80x = 72,511,050,887.64
  5. Step 5: Solve for x
    x = 72,511,050,887.64/291,973.80
  6. Step 6: Final answer
    x = 248,347.80

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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.