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Finding the Fourth Proportional to 590,983.20, 829,476 and 590,983.20

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Solution

The fourth proportional to 590,983.20, 829,476 and 590,983.20 is: 829,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,983.20 : 829,476 = 590,983.20 : x
  2. Step 2: Convert to fraction form
    590,983.20/829,476 = 590,983.20/x
  3. Step 3: Cross multiply
    590,983.20x = 829,476 × 590,983.20
  4. Step 4: Simplify right side
    590,983.20x = 490,206,380,803.20
  5. Step 5: Solve for x
    x = 490,206,380,803.20/590,983.20
  6. Step 6: Final answer
    x = 829,476

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.