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Finding the Fourth Proportional to 524,207.30, 785,144.55 and 430,895.30

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Solution

The fourth proportional to 524,207.30, 785,144.55 and 430,895.30 is: 645,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,207.30 : 785,144.55 = 430,895.30 : x
  2. Step 2: Convert to fraction form
    524,207.30/785,144.55 = 430,895.30/x
  3. Step 3: Cross multiply
    524,207.30x = 785,144.55 × 430,895.30
  4. Step 4: Simplify right side
    524,207.30x = 338,315,096,415.62
  5. Step 5: Solve for x
    x = 338,315,096,415.62/524,207.30
  6. Step 6: Final answer
    x = 645,384.18

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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.