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Finding the Fourth Proportional to 456,871.52, 685,353.19 and 157,312.46

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Solution

The fourth proportional to 456,871.52, 685,353.19 and 157,312.46 is: 235,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,871.52 : 685,353.19 = 157,312.46 : x
  2. Step 2: Convert to fraction form
    456,871.52/685,353.19 = 157,312.46/x
  3. Step 3: Cross multiply
    456,871.52x = 685,353.19 × 157,312.46
  4. Step 4: Simplify right side
    456,871.52x = 107,814,597,607.85
  5. Step 5: Solve for x
    x = 107,814,597,607.85/456,871.52
  6. Step 6: Final answer
    x = 235,984.50

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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.