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Finding the Fourth Proportional to 524,817.06, 787,607.91 and 209,364.18

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Solution

The fourth proportional to 524,817.06, 787,607.91 and 209,364.18 is: 314,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,817.06 : 787,607.91 = 209,364.18 : x
  2. Step 2: Convert to fraction form
    524,817.06/787,607.91 = 209,364.18/x
  3. Step 3: Cross multiply
    524,817.06x = 787,607.91 × 209,364.18
  4. Step 4: Simplify right side
    524,817.06x = 164,896,884,238.66
  5. Step 5: Solve for x
    x = 164,896,884,238.66/524,817.06
  6. Step 6: Final answer
    x = 314,198.79

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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.