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Finding the Fourth Proportional to 347,892.91, 480,384.81 and 261,702.50

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Solution

The fourth proportional to 347,892.91, 480,384.81 and 261,702.50 is: 361,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,892.91 : 480,384.81 = 261,702.50 : x
  2. Step 2: Convert to fraction form
    347,892.91/480,384.81 = 261,702.50/x
  3. Step 3: Cross multiply
    347,892.91x = 480,384.81 × 261,702.50
  4. Step 4: Simplify right side
    347,892.91x = 125,717,903,337.10
  5. Step 5: Solve for x
    x = 125,717,903,337.10/347,892.91
  6. Step 6: Final answer
    x = 361,369.55

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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.