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Finding the Fourth Proportional to 286,452.83, 429,474.85 and 134,565.14

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Solution

The fourth proportional to 286,452.83, 429,474.85 and 134,565.14 is: 201,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,452.83 : 429,474.85 = 134,565.14 : x
  2. Step 2: Convert to fraction form
    286,452.83/429,474.85 = 134,565.14/x
  3. Step 3: Cross multiply
    286,452.83x = 429,474.85 × 134,565.14
  4. Step 4: Simplify right side
    286,452.83x = 57,792,343,316.73
  5. Step 5: Solve for x
    x = 57,792,343,316.73/286,452.83
  6. Step 6: Final answer
    x = 201,751.69

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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.