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Finding the Fourth Proportional to 409,514.76, 611,068.49 and 366,961.51

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Solution

The fourth proportional to 409,514.76, 611,068.49 and 366,961.51 is: 547,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,514.76 : 611,068.49 = 366,961.51 : x
  2. Step 2: Convert to fraction form
    409,514.76/611,068.49 = 366,961.51/x
  3. Step 3: Cross multiply
    409,514.76x = 611,068.49 × 366,961.51
  4. Step 4: Simplify right side
    409,514.76x = 224,238,616,108.95
  5. Step 5: Solve for x
    x = 224,238,616,108.95/409,514.76
  6. Step 6: Final answer
    x = 547,571.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.