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Finding the Fourth Proportional to 601,983.84, 830,451.46 and 360,217.72

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Solution

The fourth proportional to 601,983.84, 830,451.46 and 360,217.72 is: 496,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,983.84 : 830,451.46 = 360,217.72 : x
  2. Step 2: Convert to fraction form
    601,983.84/830,451.46 = 360,217.72/x
  3. Step 3: Cross multiply
    601,983.84x = 830,451.46 × 360,217.72
  4. Step 4: Simplify right side
    601,983.84x = 299,143,331,491.87
  5. Step 5: Solve for x
    x = 299,143,331,491.87/601,983.84
  6. Step 6: Final answer
    x = 496,929.17

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1.5x scale

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.