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Finding the Fourth Proportional to 456,585.80, 684,972.12 and 157,027.40

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Solution

The fourth proportional to 456,585.80, 684,972.12 and 157,027.40 is: 235,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,585.80 : 684,972.12 = 157,027.40 : x
  2. Step 2: Convert to fraction form
    456,585.80/684,972.12 = 157,027.40/x
  3. Step 3: Cross multiply
    456,585.80x = 684,972.12 × 157,027.40
  4. Step 4: Simplify right side
    456,585.80x = 107,559,391,076.09
  5. Step 5: Solve for x
    x = 107,559,391,076.09/456,585.80
  6. Step 6: Final answer
    x = 235,573.23

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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.