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Finding the Fourth Proportional to 277,352, 382,590.24 and 169,974.08

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Solution

The fourth proportional to 277,352, 382,590.24 and 169,974.08 is: 234,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,352 : 382,590.24 = 169,974.08 : x
  2. Step 2: Convert to fraction form
    277,352/382,590.24 = 169,974.08/x
  3. Step 3: Cross multiply
    277,352x = 382,590.24 × 169,974.08
  4. Step 4: Simplify right side
    277,352x = 65,030,424,060.98
  5. Step 5: Solve for x
    x = 65,030,424,060.98/277,352
  6. Step 6: Final answer
    x = 234,468.92

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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.