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Finding the Fourth Proportional to 309,312.14, 426,843.66 and 180,242.40

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Solution

The fourth proportional to 309,312.14, 426,843.66 and 180,242.40 is: 248,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,312.14 : 426,843.66 = 180,242.40 : x
  2. Step 2: Convert to fraction form
    309,312.14/426,843.66 = 180,242.40/x
  3. Step 3: Cross multiply
    309,312.14x = 426,843.66 × 180,242.40
  4. Step 4: Simplify right side
    309,312.14x = 76,935,325,703.18
  5. Step 5: Solve for x
    x = 76,935,325,703.18/309,312.14
  6. Step 6: Final answer
    x = 248,730.38

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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.