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Finding the Fourth Proportional to 277,045.50, 382,322.88 and 157,813.50

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Solution

The fourth proportional to 277,045.50, 382,322.88 and 157,813.50 is: 217,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,045.50 : 382,322.88 = 157,813.50 : x
  2. Step 2: Convert to fraction form
    277,045.50/382,322.88 = 157,813.50/x
  3. Step 3: Cross multiply
    277,045.50x = 382,322.88 × 157,813.50
  4. Step 4: Simplify right side
    277,045.50x = 60,335,711,822.88
  5. Step 5: Solve for x
    x = 60,335,711,822.88/277,045.50
  6. Step 6: Final answer
    x = 217,782.68

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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.