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Finding the Fourth Proportional to 277,576.86, 416,343.80 and 77,889.18

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Solution

The fourth proportional to 277,576.86, 416,343.80 and 77,889.18 is: 116,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,576.86 : 416,343.80 = 77,889.18 : x
  2. Step 2: Convert to fraction form
    277,576.86/416,343.80 = 77,889.18/x
  3. Step 3: Cross multiply
    277,576.86x = 416,343.80 × 77,889.18
  4. Step 4: Simplify right side
    277,576.86x = 32,428,677,180.08
  5. Step 5: Solve for x
    x = 32,428,677,180.08/277,576.86
  6. Step 6: Final answer
    x = 116,827.74

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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.