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Finding the Fourth Proportional to 295,603.32, 407,811.84 and 218,264.32

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Solution

The fourth proportional to 295,603.32, 407,811.84 and 218,264.32 is: 301,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,603.32 : 407,811.84 = 218,264.32 : x
  2. Step 2: Convert to fraction form
    295,603.32/407,811.84 = 218,264.32/x
  3. Step 3: Cross multiply
    295,603.32x = 407,811.84 × 218,264.32
  4. Step 4: Simplify right side
    295,603.32x = 89,010,773,945.55
  5. Step 5: Solve for x
    x = 89,010,773,945.55/295,603.32
  6. Step 6: Final answer
    x = 301,115.61

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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.