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Finding the Fourth Proportional to 511,376.68, 767,095.26 and 156,415.24

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Solution

The fourth proportional to 511,376.68, 767,095.26 and 156,415.24 is: 234,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,376.68 : 767,095.26 = 156,415.24 : x
  2. Step 2: Convert to fraction form
    511,376.68/767,095.26 = 156,415.24/x
  3. Step 3: Cross multiply
    511,376.68x = 767,095.26 × 156,415.24
  4. Step 4: Simplify right side
    511,376.68x = 119,985,389,195.76
  5. Step 5: Solve for x
    x = 119,985,389,195.76/511,376.68
  6. Step 6: Final answer
    x = 234,632.11

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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.