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Finding the Fourth Proportional to 277,186.86, 382,494.95 and 156,357.84

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Solution

The fourth proportional to 277,186.86, 382,494.95 and 156,357.84 is: 215,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,186.86 : 382,494.95 = 156,357.84 : x
  2. Step 2: Convert to fraction form
    277,186.86/382,494.95 = 156,357.84/x
  3. Step 3: Cross multiply
    277,186.86x = 382,494.95 × 156,357.84
  4. Step 4: Simplify right side
    277,186.86x = 59,806,083,411.12
  5. Step 5: Solve for x
    x = 59,806,083,411.12/277,186.86
  6. Step 6: Final answer
    x = 215,760.89

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1.5x scale

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.