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Finding the Fourth Proportional to 473,830.08, 653,662.08 and 280,107.24

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Solution

The fourth proportional to 473,830.08, 653,662.08 and 280,107.24 is: 386,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,830.08 : 653,662.08 = 280,107.24 : x
  2. Step 2: Convert to fraction form
    473,830.08/653,662.08 = 280,107.24/x
  3. Step 3: Cross multiply
    473,830.08x = 653,662.08 × 280,107.24
  4. Step 4: Simplify right side
    473,830.08x = 183,095,481,121.46
  5. Step 5: Solve for x
    x = 183,095,481,121.46/473,830.08
  6. Step 6: Final answer
    x = 386,415.91

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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.