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Finding the Fourth Proportional to 433,410.78, 650,214.58 and 233,726.74

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Solution

The fourth proportional to 433,410.78, 650,214.58 and 233,726.74 is: 350,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,410.78 : 650,214.58 = 233,726.74 : x
  2. Step 2: Convert to fraction form
    433,410.78/650,214.58 = 233,726.74/x
  3. Step 3: Cross multiply
    433,410.78x = 650,214.58 × 233,726.74
  4. Step 4: Simplify right side
    433,410.78x = 151,972,533,812.30
  5. Step 5: Solve for x
    x = 151,972,533,812.30/433,410.78
  6. Step 6: Final answer
    x = 350,643.18

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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.