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Finding the Fourth Proportional to 314,010.74, 471,017.47 and 100,811.04

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Solution

The fourth proportional to 314,010.74, 471,017.47 and 100,811.04 is: 151,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,010.74 : 471,017.47 = 100,811.04 : x
  2. Step 2: Convert to fraction form
    314,010.74/471,017.47 = 100,811.04/x
  3. Step 3: Cross multiply
    314,010.74x = 471,017.47 × 100,811.04
  4. Step 4: Simplify right side
    314,010.74x = 47,483,761,008.87
  5. Step 5: Solve for x
    x = 47,483,761,008.87/314,010.74
  6. Step 6: Final answer
    x = 151,217.00

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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.