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Finding the Fourth Proportional to 380,008.32, 524,392.32 and 207,922.56

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Solution

The fourth proportional to 380,008.32, 524,392.32 and 207,922.56 is: 286,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,008.32 : 524,392.32 = 207,922.56 : x
  2. Step 2: Convert to fraction form
    380,008.32/524,392.32 = 207,922.56/x
  3. Step 3: Cross multiply
    380,008.32x = 524,392.32 × 207,922.56
  4. Step 4: Simplify right side
    380,008.32x = 109,032,993,618.74
  5. Step 5: Solve for x
    x = 109,032,993,618.74/380,008.32
  6. Step 6: Final answer
    x = 286,922.65

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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.