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Finding the Fourth Proportional to 524,908.46, 787,710.18 and 288,416

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Solution

The fourth proportional to 524,908.46, 787,710.18 and 288,416 is: 432,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,908.46 : 787,710.18 = 288,416 : x
  2. Step 2: Convert to fraction form
    524,908.46/787,710.18 = 288,416/x
  3. Step 3: Cross multiply
    524,908.46x = 787,710.18 × 288,416
  4. Step 4: Simplify right side
    524,908.46x = 227,188,219,274.88
  5. Step 5: Solve for x
    x = 227,188,219,274.88/524,908.46
  6. Step 6: Final answer
    x = 432,814.93

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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.