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Finding the Fourth Proportional to 277,506.64, 382,960.40 and 150,182.28

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Solution

The fourth proportional to 277,506.64, 382,960.40 and 150,182.28 is: 207,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.64 : 382,960.40 = 150,182.28 : x
  2. Step 2: Convert to fraction form
    277,506.64/382,960.40 = 150,182.28/x
  3. Step 3: Cross multiply
    277,506.64x = 382,960.40 × 150,182.28
  4. Step 4: Simplify right side
    277,506.64x = 57,513,866,021.71
  5. Step 5: Solve for x
    x = 57,513,866,021.71/277,506.64
  6. Step 6: Final answer
    x = 207,252.22

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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.