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Finding the Fourth Proportional to 457,273.60, 685,910.40 and 141,827.20

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Solution

The fourth proportional to 457,273.60, 685,910.40 and 141,827.20 is: 212,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,273.60 : 685,910.40 = 141,827.20 : x
  2. Step 2: Convert to fraction form
    457,273.60/685,910.40 = 141,827.20/x
  3. Step 3: Cross multiply
    457,273.60x = 685,910.40 × 141,827.20
  4. Step 4: Simplify right side
    457,273.60x = 97,280,751,482.88
  5. Step 5: Solve for x
    x = 97,280,751,482.88/457,273.60
  6. Step 6: Final answer
    x = 212,740.80

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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.