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Finding the Fourth Proportional to 438,427.60, 657,707.10 and 185,707.60

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Solution

The fourth proportional to 438,427.60, 657,707.10 and 185,707.60 is: 278,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,427.60 : 657,707.10 = 185,707.60 : x
  2. Step 2: Convert to fraction form
    438,427.60/657,707.10 = 185,707.60/x
  3. Step 3: Cross multiply
    438,427.60x = 657,707.10 × 185,707.60
  4. Step 4: Simplify right side
    438,427.60x = 122,141,207,043.96
  5. Step 5: Solve for x
    x = 122,141,207,043.96/438,427.60
  6. Step 6: Final answer
    x = 278,589.23

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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.