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Finding the Fourth Proportional to 524,644.23, 785,337.31 and 284,160.84

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Solution

The fourth proportional to 524,644.23, 785,337.31 and 284,160.84 is: 425,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,644.23 : 785,337.31 = 284,160.84 : x
  2. Step 2: Convert to fraction form
    524,644.23/785,337.31 = 284,160.84/x
  3. Step 3: Cross multiply
    524,644.23x = 785,337.31 × 284,160.84
  4. Step 4: Simplify right side
    524,644.23x = 223,162,109,692.94
  5. Step 5: Solve for x
    x = 223,162,109,692.94/524,644.23
  6. Step 6: Final answer
    x = 425,358.93

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1.5x scale

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.