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Finding the Fourth Proportional to 277,820.76, 416,731.14 and 67,457.28

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Solution

The fourth proportional to 277,820.76, 416,731.14 and 67,457.28 is: 101,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820.76 : 416,731.14 = 67,457.28 : x
  2. Step 2: Convert to fraction form
    277,820.76/416,731.14 = 67,457.28/x
  3. Step 3: Cross multiply
    277,820.76x = 416,731.14 × 67,457.28
  4. Step 4: Simplify right side
    277,820.76x = 28,111,549,195.70
  5. Step 5: Solve for x
    x = 28,111,549,195.70/277,820.76
  6. Step 6: Final answer
    x = 101,185.92

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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.