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Finding the Fourth Proportional to 314,419.14, 433,831.14 and 187,069.86

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Solution

The fourth proportional to 314,419.14, 433,831.14 and 187,069.86 is: 258,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,419.14 : 433,831.14 = 187,069.86 : x
  2. Step 2: Convert to fraction form
    314,419.14/433,831.14 = 187,069.86/x
  3. Step 3: Cross multiply
    314,419.14x = 433,831.14 × 187,069.86
  4. Step 4: Simplify right side
    314,419.14x = 81,156,730,623.44
  5. Step 5: Solve for x
    x = 81,156,730,623.44/314,419.14
  6. Step 6: Final answer
    x = 258,116.38

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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.