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Finding the Fourth Proportional to 277,596.12, 416,397.60 and 97,686.92

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Solution

The fourth proportional to 277,596.12, 416,397.60 and 97,686.92 is: 146,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,596.12 : 416,397.60 = 97,686.92 : x
  2. Step 2: Convert to fraction form
    277,596.12/416,397.60 = 97,686.92/x
  3. Step 3: Cross multiply
    277,596.12x = 416,397.60 × 97,686.92
  4. Step 4: Simplify right side
    277,596.12x = 40,676,599,039.39
  5. Step 5: Solve for x
    x = 40,676,599,039.39/277,596.12
  6. Step 6: Final answer
    x = 146,531.58

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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.