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Finding the Fourth Proportional to 498,094.98, 687,368.76 and 271,740.48

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Solution

The fourth proportional to 498,094.98, 687,368.76 and 271,740.48 is: 375,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,094.98 : 687,368.76 = 271,740.48 : x
  2. Step 2: Convert to fraction form
    498,094.98/687,368.76 = 271,740.48/x
  3. Step 3: Cross multiply
    498,094.98x = 687,368.76 × 271,740.48
  4. Step 4: Simplify right side
    498,094.98x = 186,785,916,779.41
  5. Step 5: Solve for x
    x = 186,785,916,779.41/498,094.98
  6. Step 6: Final answer
    x = 375,000.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.