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Finding the Fourth Proportional to 480,924.30, 663,682.10 and 299,709.48

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Solution

The fourth proportional to 480,924.30, 663,682.10 and 299,709.48 is: 413,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,924.30 : 663,682.10 = 299,709.48 : x
  2. Step 2: Convert to fraction form
    480,924.30/663,682.10 = 299,709.48/x
  3. Step 3: Cross multiply
    480,924.30x = 663,682.10 × 299,709.48
  4. Step 4: Simplify right side
    480,924.30x = 198,911,817,076.31
  5. Step 5: Solve for x
    x = 198,911,817,076.31/480,924.30
  6. Step 6: Final answer
    x = 413,603.17

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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.