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Finding the Fourth Proportional to 277,314.24, 382,666.56 and 156,474.24

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Solution

The fourth proportional to 277,314.24, 382,666.56 and 156,474.24 is: 215,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,314.24 : 382,666.56 = 156,474.24 : x
  2. Step 2: Convert to fraction form
    277,314.24/382,666.56 = 156,474.24/x
  3. Step 3: Cross multiply
    277,314.24x = 382,666.56 × 156,474.24
  4. Step 4: Simplify right side
    277,314.24x = 59,877,459,149.41
  5. Step 5: Solve for x
    x = 59,877,459,149.41/277,314.24
  6. Step 6: Final answer
    x = 215,919.17

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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.