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Finding the Fourth Proportional to 437,873.78, 657,070.07 and 185,140.46

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Solution

The fourth proportional to 437,873.78, 657,070.07 and 185,140.46 is: 277,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,873.78 : 657,070.07 = 185,140.46 : x
  2. Step 2: Convert to fraction form
    437,873.78/657,070.07 = 185,140.46/x
  3. Step 3: Cross multiply
    437,873.78x = 657,070.07 × 185,140.46
  4. Step 4: Simplify right side
    437,873.78x = 121,650,252,189.53
  5. Step 5: Solve for x
    x = 121,650,252,189.53/437,873.78
  6. Step 6: Final answer
    x = 277,820.37

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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.