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Finding the Fourth Proportional to 497,720.40, 746,580.60 and 310,837.20

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Solution

The fourth proportional to 497,720.40, 746,580.60 and 310,837.20 is: 466,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,720.40 : 746,580.60 = 310,837.20 : x
  2. Step 2: Convert to fraction form
    497,720.40/746,580.60 = 310,837.20/x
  3. Step 3: Cross multiply
    497,720.40x = 746,580.60 × 310,837.20
  4. Step 4: Simplify right side
    497,720.40x = 232,065,023,278.32
  5. Step 5: Solve for x
    x = 232,065,023,278.32/497,720.40
  6. Step 6: Final answer
    x = 466,255.80

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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.