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Finding the Fourth Proportional to 524,240.28, 785,784.81 and 299,109.89

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Solution

The fourth proportional to 524,240.28, 785,784.81 and 299,109.89 is: 448,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,240.28 : 785,784.81 = 299,109.89 : x
  2. Step 2: Convert to fraction form
    524,240.28/785,784.81 = 299,109.89/x
  3. Step 3: Cross multiply
    524,240.28x = 785,784.81 × 299,109.89
  4. Step 4: Simplify right side
    524,240.28x = 235,036,008,082.77
  5. Step 5: Solve for x
    x = 235,036,008,082.77/524,240.28
  6. Step 6: Final answer
    x = 448,336.42

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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.