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Finding the Fourth Proportional to 277,511.47, 382,965.67 and 156,653.80

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Solution

The fourth proportional to 277,511.47, 382,965.67 and 156,653.80 is: 216,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,511.47 : 382,965.67 = 156,653.80 : x
  2. Step 2: Convert to fraction form
    277,511.47/382,965.67 = 156,653.80/x
  3. Step 3: Cross multiply
    277,511.47x = 382,965.67 × 156,653.80
  4. Step 4: Simplify right side
    277,511.47x = 59,993,026,713.45
  5. Step 5: Solve for x
    x = 59,993,026,713.45/277,511.47
  6. Step 6: Final answer
    x = 216,182.15

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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.