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Finding the Fourth Proportional to 524,195.10, 785,140.11 and 433,206.60

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Solution

The fourth proportional to 524,195.10, 785,140.11 and 433,206.60 is: 648,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,195.10 : 785,140.11 = 433,206.60 : x
  2. Step 2: Convert to fraction form
    524,195.10/785,140.11 = 433,206.60/x
  3. Step 3: Cross multiply
    524,195.10x = 785,140.11 × 433,206.60
  4. Step 4: Simplify right side
    524,195.10x = 340,127,877,576.73
  5. Step 5: Solve for x
    x = 340,127,877,576.73/524,195.10
  6. Step 6: Final answer
    x = 648,857.42

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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.