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Finding the Fourth Proportional to 429,078.97, 592,243.85 and 267,836.93

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Solution

The fourth proportional to 429,078.97, 592,243.85 and 267,836.93 is: 369,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,078.97 : 592,243.85 = 267,836.93 : x
  2. Step 2: Convert to fraction form
    429,078.97/592,243.85 = 267,836.93/x
  3. Step 3: Cross multiply
    429,078.97x = 592,243.85 × 267,836.93
  4. Step 4: Simplify right side
    429,078.97x = 158,624,774,524.67
  5. Step 5: Solve for x
    x = 158,624,774,524.67/429,078.97
  6. Step 6: Final answer
    x = 369,686.67

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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.