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Finding the Fourth Proportional to 315,913.32, 473,603.42 and 147,344.84

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Solution

The fourth proportional to 315,913.32, 473,603.42 and 147,344.84 is: 220,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,913.32 : 473,603.42 = 147,344.84 : x
  2. Step 2: Convert to fraction form
    315,913.32/473,603.42 = 147,344.84/x
  3. Step 3: Cross multiply
    315,913.32x = 473,603.42 × 147,344.84
  4. Step 4: Simplify right side
    315,913.32x = 69,783,020,143.35
  5. Step 5: Solve for x
    x = 69,783,020,143.35/315,913.32
  6. Step 6: Final answer
    x = 220,892.93

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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.