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Finding the Fourth Proportional to 437,867.88, 657,047.88 and 238,202.24

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Solution

The fourth proportional to 437,867.88, 657,047.88 and 238,202.24 is: 357,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,867.88 : 657,047.88 = 238,202.24 : x
  2. Step 2: Convert to fraction form
    437,867.88/657,047.88 = 238,202.24/x
  3. Step 3: Cross multiply
    437,867.88x = 657,047.88 × 238,202.24
  4. Step 4: Simplify right side
    437,867.88x = 156,510,276,803.25
  5. Step 5: Solve for x
    x = 156,510,276,803.25/437,867.88
  6. Step 6: Final answer
    x = 357,437.22

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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.