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Finding the Fourth Proportional to 499,253.40, 748,880.10 and 310,296.60

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Solution

The fourth proportional to 499,253.40, 748,880.10 and 310,296.60 is: 465,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,253.40 : 748,880.10 = 310,296.60 : x
  2. Step 2: Convert to fraction form
    499,253.40/748,880.10 = 310,296.60/x
  3. Step 3: Cross multiply
    499,253.40x = 748,880.10 × 310,296.60
  4. Step 4: Simplify right side
    499,253.40x = 232,374,948,837.66
  5. Step 5: Solve for x
    x = 232,374,948,837.66/499,253.40
  6. Step 6: Final answer
    x = 465,444.90

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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.