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Finding the Fourth Proportional to 315,601.80, 473,402.70 and 102,369.30

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Solution

The fourth proportional to 315,601.80, 473,402.70 and 102,369.30 is: 153,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,601.80 : 473,402.70 = 102,369.30 : x
  2. Step 2: Convert to fraction form
    315,601.80/473,402.70 = 102,369.30/x
  3. Step 3: Cross multiply
    315,601.80x = 473,402.70 × 102,369.30
  4. Step 4: Simplify right side
    315,601.80x = 48,461,903,017.11
  5. Step 5: Solve for x
    x = 48,461,903,017.11/315,601.80
  6. Step 6: Final answer
    x = 153,553.95

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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.