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Finding the Fourth Proportional to 524,950.14, 787,772.62 and 288,457.50

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Solution

The fourth proportional to 524,950.14, 787,772.62 and 288,457.50 is: 432,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,950.14 : 787,772.62 = 288,457.50 : x
  2. Step 2: Convert to fraction form
    524,950.14/787,772.62 = 288,457.50/x
  3. Step 3: Cross multiply
    524,950.14x = 787,772.62 × 288,457.50
  4. Step 4: Simplify right side
    524,950.14x = 227,238,920,533.65
  5. Step 5: Solve for x
    x = 227,238,920,533.65/524,950.14
  6. Step 6: Final answer
    x = 432,877.15

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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.