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Finding the Fourth Proportional to 407,638.24, 608,712.41 and 332,906.74

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Solution

The fourth proportional to 407,638.24, 608,712.41 and 332,906.74 is: 497,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,638.24 : 608,712.41 = 332,906.74 : x
  2. Step 2: Convert to fraction form
    407,638.24/608,712.41 = 332,906.74/x
  3. Step 3: Cross multiply
    407,638.24x = 608,712.41 × 332,906.74
  4. Step 4: Simplify right side
    407,638.24x = 202,644,461,448.53
  5. Step 5: Solve for x
    x = 202,644,461,448.53/407,638.24
  6. Step 6: Final answer
    x = 497,118.38

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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.