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Finding the Fourth Proportional to 342,765.06, 473,015.47 and 189,803.24

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Solution

The fourth proportional to 342,765.06, 473,015.47 and 189,803.24 is: 261,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,765.06 : 473,015.47 = 189,803.24 : x
  2. Step 2: Convert to fraction form
    342,765.06/473,015.47 = 189,803.24/x
  3. Step 3: Cross multiply
    342,765.06x = 473,015.47 × 189,803.24
  4. Step 4: Simplify right side
    342,765.06x = 89,779,868,776.12
  5. Step 5: Solve for x
    x = 89,779,868,776.12/342,765.06
  6. Step 6: Final answer
    x = 261,928.30

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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.