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Finding the Fourth Proportional to 277,417.71, 416,093.99 and 77,754.18

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Solution

The fourth proportional to 277,417.71, 416,093.99 and 77,754.18 is: 116,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,417.71 : 416,093.99 = 77,754.18 : x
  2. Step 2: Convert to fraction form
    277,417.71/416,093.99 = 77,754.18/x
  3. Step 3: Cross multiply
    277,417.71x = 416,093.99 × 77,754.18
  4. Step 4: Simplify right side
    277,417.71x = 32,353,046,606.61
  5. Step 5: Solve for x
    x = 32,353,046,606.61/277,417.71
  6. Step 6: Final answer
    x = 116,622.14

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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.