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Finding the Fourth Proportional to 360,925.32, 497,962.44 and 209,993.16

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Solution

The fourth proportional to 360,925.32, 497,962.44 and 209,993.16 is: 289,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,925.32 : 497,962.44 = 209,993.16 : x
  2. Step 2: Convert to fraction form
    360,925.32/497,962.44 = 209,993.16/x
  3. Step 3: Cross multiply
    360,925.32x = 497,962.44 × 209,993.16
  4. Step 4: Simplify right side
    360,925.32x = 104,568,706,336.91
  5. Step 5: Solve for x
    x = 104,568,706,336.91/360,925.32
  6. Step 6: Final answer
    x = 289,723.94

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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.