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Finding the Fourth Proportional to 433,024.86, 650,126.28 and 243,618.48

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Solution

The fourth proportional to 433,024.86, 650,126.28 and 243,618.48 is: 365,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,024.86 : 650,126.28 = 243,618.48 : x
  2. Step 2: Convert to fraction form
    433,024.86/650,126.28 = 243,618.48/x
  3. Step 3: Cross multiply
    433,024.86x = 650,126.28 × 243,618.48
  4. Step 4: Simplify right side
    433,024.86x = 158,382,776,141.65
  5. Step 5: Solve for x
    x = 158,382,776,141.65/433,024.86
  6. Step 6: Final answer
    x = 365,759.08

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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.