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Finding the Fourth Proportional to 301,431.48, 416,018.70 and 180,577.86

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Solution

The fourth proportional to 301,431.48, 416,018.70 and 180,577.86 is: 249,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,431.48 : 416,018.70 = 180,577.86 : x
  2. Step 2: Convert to fraction form
    301,431.48/416,018.70 = 180,577.86/x
  3. Step 3: Cross multiply
    301,431.48x = 416,018.70 × 180,577.86
  4. Step 4: Simplify right side
    301,431.48x = 75,123,766,565.98
  5. Step 5: Solve for x
    x = 75,123,766,565.98/301,431.48
  6. Step 6: Final answer
    x = 249,223.36

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1.5x scale

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.