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Finding the Fourth Proportional to 277,710.71, 383,238.57 and 150,386.30

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Solution

The fourth proportional to 277,710.71, 383,238.57 and 150,386.30 is: 207,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,710.71 : 383,238.57 = 150,386.30 : x
  2. Step 2: Convert to fraction form
    277,710.71/383,238.57 = 150,386.30/x
  3. Step 3: Cross multiply
    277,710.71x = 383,238.57 × 150,386.30
  4. Step 4: Simplify right side
    277,710.71x = 57,633,830,559.59
  5. Step 5: Solve for x
    x = 57,633,830,559.59/277,710.71
  6. Step 6: Final answer
    x = 207,531.90

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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.