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Finding the Fourth Proportional to 430,060.25, 645,168.14 and 177,200.07

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Solution

The fourth proportional to 430,060.25, 645,168.14 and 177,200.07 is: 265,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,060.25 : 645,168.14 = 177,200.07 : x
  2. Step 2: Convert to fraction form
    430,060.25/645,168.14 = 177,200.07/x
  3. Step 3: Cross multiply
    430,060.25x = 645,168.14 × 177,200.07
  4. Step 4: Simplify right side
    430,060.25x = 114,323,840,557.96
  5. Step 5: Solve for x
    x = 114,323,840,557.96/430,060.25
  6. Step 6: Final answer
    x = 265,832.15

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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.