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Finding the Fourth Proportional to 277,638.96, 416,483.86 and 77,958.00

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Solution

The fourth proportional to 277,638.96, 416,483.86 and 77,958.00 is: 116,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,638.96 : 416,483.86 = 77,958.00 : x
  2. Step 2: Convert to fraction form
    277,638.96/416,483.86 = 77,958.00/x
  3. Step 3: Cross multiply
    277,638.96x = 416,483.86 × 77,958.00
  4. Step 4: Simplify right side
    277,638.96x = 32,468,250,417.14
  5. Step 5: Solve for x
    x = 32,468,250,417.14/277,638.96
  6. Step 6: Final answer
    x = 116,944.14

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1.5x scale

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.