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Finding the Fourth Proportional to 499,514.40, 749,271.60 and 310,557.60

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Solution

The fourth proportional to 499,514.40, 749,271.60 and 310,557.60 is: 465,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,514.40 : 749,271.60 = 310,557.60 : x
  2. Step 2: Convert to fraction form
    499,514.40/749,271.60 = 310,557.60/x
  3. Step 3: Cross multiply
    499,514.40x = 749,271.60 × 310,557.60
  4. Step 4: Simplify right side
    499,514.40x = 232,691,989,844.16
  5. Step 5: Solve for x
    x = 232,691,989,844.16/499,514.40
  6. Step 6: Final answer
    x = 465,836.40

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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.