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Finding the Fourth Proportional to 418,559.56, 628,233.90 and 152,577.16

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Solution

The fourth proportional to 418,559.56, 628,233.90 and 152,577.16 is: 229,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,559.56 : 628,233.90 = 152,577.16 : x
  2. Step 2: Convert to fraction form
    418,559.56/628,233.90 = 152,577.16/x
  3. Step 3: Cross multiply
    418,559.56x = 628,233.90 × 152,577.16
  4. Step 4: Simplify right side
    418,559.56x = 95,854,144,277.72
  5. Step 5: Solve for x
    x = 95,854,144,277.72/418,559.56
  6. Step 6: Final answer
    x = 229,009.57

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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.