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Finding the Fourth Proportional to 287,370, 431,253.05 and 100,381.50

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Solution

The fourth proportional to 287,370, 431,253.05 and 100,381.50 is: 150,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,370 : 431,253.05 = 100,381.50 : x
  2. Step 2: Convert to fraction form
    287,370/431,253.05 = 100,381.50/x
  3. Step 3: Cross multiply
    287,370x = 431,253.05 × 100,381.50
  4. Step 4: Simplify right side
    287,370x = 43,289,827,536.67
  5. Step 5: Solve for x
    x = 43,289,827,536.67/287,370
  6. Step 6: Final answer
    x = 150,641.43

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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.