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Finding the Fourth Proportional to 677,648.76, 935,184.79 and 405,664.21

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Solution

The fourth proportional to 677,648.76, 935,184.79 and 405,664.21 is: 559,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,648.76 : 935,184.79 = 405,664.21 : x
  2. Step 2: Convert to fraction form
    677,648.76/935,184.79 = 405,664.21/x
  3. Step 3: Cross multiply
    677,648.76x = 935,184.79 × 405,664.21
  4. Step 4: Simplify right side
    677,648.76x = 379,370,999,039.37
  5. Step 5: Solve for x
    x = 379,370,999,039.37/677,648.76
  6. Step 6: Final answer
    x = 559,834.27

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Double scale
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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.