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Finding the Fourth Proportional to 497,140.40, 745,710.60 and 181,823.60

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Solution

The fourth proportional to 497,140.40, 745,710.60 and 181,823.60 is: 272,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,140.40 : 745,710.60 = 181,823.60 : x
  2. Step 2: Convert to fraction form
    497,140.40/745,710.60 = 181,823.60/x
  3. Step 3: Cross multiply
    497,140.40x = 745,710.60 × 181,823.60
  4. Step 4: Simplify right side
    497,140.40x = 135,587,785,850.16
  5. Step 5: Solve for x
    x = 135,587,785,850.16/497,140.40
  6. Step 6: Final answer
    x = 272,735.40

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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.