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Finding the Fourth Proportional to 314,868.96, 434,564.46 and 187,546.68

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Solution

The fourth proportional to 314,868.96, 434,564.46 and 187,546.68 is: 258,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,868.96 : 434,564.46 = 187,546.68 : x
  2. Step 2: Convert to fraction form
    314,868.96/434,564.46 = 187,546.68/x
  3. Step 3: Cross multiply
    314,868.96x = 434,564.46 × 187,546.68
  4. Step 4: Simplify right side
    314,868.96x = 81,501,121,718.99
  5. Step 5: Solve for x
    x = 81,501,121,718.99/314,868.96
  6. Step 6: Final answer
    x = 258,841.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.