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Finding the Fourth Proportional to 311,897.10, 430,418.02 and 168,657.14

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Solution

The fourth proportional to 311,897.10, 430,418.02 and 168,657.14 is: 232,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,897.10 : 430,418.02 = 168,657.14 : x
  2. Step 2: Convert to fraction form
    311,897.10/430,418.02 = 168,657.14/x
  3. Step 3: Cross multiply
    311,897.10x = 430,418.02 × 168,657.14
  4. Step 4: Simplify right side
    311,897.10x = 72,593,072,257.66
  5. Step 5: Solve for x
    x = 72,593,072,257.66/311,897.10
  6. Step 6: Final answer
    x = 232,746.87

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1.5x scale

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.