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Finding the Fourth Proportional to 456,720.40, 685,080.60 and 438,349.60

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Solution

The fourth proportional to 456,720.40, 685,080.60 and 438,349.60 is: 657,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,720.40 : 685,080.60 = 438,349.60 : x
  2. Step 2: Convert to fraction form
    456,720.40/685,080.60 = 438,349.60/x
  3. Step 3: Cross multiply
    456,720.40x = 685,080.60 × 438,349.60
  4. Step 4: Simplify right side
    456,720.40x = 300,304,806,977.76
  5. Step 5: Solve for x
    x = 300,304,806,977.76/456,720.40
  6. Step 6: Final answer
    x = 657,524.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.