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Finding the Fourth Proportional to 510,669.56, 704,745.87 and 284,315.06

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Solution

The fourth proportional to 510,669.56, 704,745.87 and 284,315.06 is: 392,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,669.56 : 704,745.87 = 284,315.06 : x
  2. Step 2: Convert to fraction form
    510,669.56/704,745.87 = 284,315.06/x
  3. Step 3: Cross multiply
    510,669.56x = 704,745.87 × 284,315.06
  4. Step 4: Simplify right side
    510,669.56x = 200,369,865,009.49
  5. Step 5: Solve for x
    x = 200,369,865,009.49/510,669.56
  6. Step 6: Final answer
    x = 392,366.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.