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Finding the Fourth Proportional to 384,019.10, 576,028.65 and 134,726.30

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Solution

The fourth proportional to 384,019.10, 576,028.65 and 134,726.30 is: 202,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,019.10 : 576,028.65 = 134,726.30 : x
  2. Step 2: Convert to fraction form
    384,019.10/576,028.65 = 134,726.30/x
  3. Step 3: Cross multiply
    384,019.10x = 576,028.65 × 134,726.30
  4. Step 4: Simplify right side
    384,019.10x = 77,606,208,708.50
  5. Step 5: Solve for x
    x = 77,606,208,708.50/384,019.10
  6. Step 6: Final answer
    x = 202,089.45

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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.