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Finding the Fourth Proportional to 463,254.84, 693,977.28 and 319,135.24

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Solution

The fourth proportional to 463,254.84, 693,977.28 and 319,135.24 is: 478,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,254.84 : 693,977.28 = 319,135.24 : x
  2. Step 2: Convert to fraction form
    463,254.84/693,977.28 = 319,135.24/x
  3. Step 3: Cross multiply
    463,254.84x = 693,977.28 × 319,135.24
  4. Step 4: Simplify right side
    463,254.84x = 221,472,606,674.82
  5. Step 5: Solve for x
    x = 221,472,606,674.82/463,254.84
  6. Step 6: Final answer
    x = 478,079.42

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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.