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Finding the Fourth Proportional to 456,034.40, 684,051.60 and 403,546.40

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Solution

The fourth proportional to 456,034.40, 684,051.60 and 403,546.40 is: 605,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,034.40 : 684,051.60 = 403,546.40 : x
  2. Step 2: Convert to fraction form
    456,034.40/684,051.60 = 403,546.40/x
  3. Step 3: Cross multiply
    456,034.40x = 684,051.60 × 403,546.40
  4. Step 4: Simplify right side
    456,034.40x = 276,046,560,594.24
  5. Step 5: Solve for x
    x = 276,046,560,594.24/456,034.40
  6. Step 6: Final answer
    x = 605,319.60

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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.