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Finding the Fourth Proportional to 338,614.46, 507,476.07 and 188,925.23

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Solution

The fourth proportional to 338,614.46, 507,476.07 and 188,925.23 is: 283,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,614.46 : 507,476.07 = 188,925.23 : x
  2. Step 2: Convert to fraction form
    338,614.46/507,476.07 = 188,925.23/x
  3. Step 3: Cross multiply
    338,614.46x = 507,476.07 × 188,925.23
  4. Step 4: Simplify right side
    338,614.46x = 95,875,033,244.25
  5. Step 5: Solve for x
    x = 95,875,033,244.25/338,614.46
  6. Step 6: Final answer
    x = 283,139.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.