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Finding the Fourth Proportional to 474,087.51, 654,187.19 and 280,501.16

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Solution

The fourth proportional to 474,087.51, 654,187.19 and 280,501.16 is: 387,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,087.51 : 654,187.19 = 280,501.16 : x
  2. Step 2: Convert to fraction form
    474,087.51/654,187.19 = 280,501.16/x
  3. Step 3: Cross multiply
    474,087.51x = 654,187.19 × 280,501.16
  4. Step 4: Simplify right side
    474,087.51x = 183,500,260,978.70
  5. Step 5: Solve for x
    x = 183,500,260,978.70/474,087.51
  6. Step 6: Final answer
    x = 387,059.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.