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Finding the Fourth Proportional to 475,352.20, 712,548.50 and 297,983.77

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Solution

The fourth proportional to 475,352.20, 712,548.50 and 297,983.77 is: 446,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,352.20 : 712,548.50 = 297,983.77 : x
  2. Step 2: Convert to fraction form
    475,352.20/712,548.50 = 297,983.77/x
  3. Step 3: Cross multiply
    475,352.20x = 712,548.50 × 297,983.77
  4. Step 4: Simplify right side
    475,352.20x = 212,327,887,301.43
  5. Step 5: Solve for x
    x = 212,327,887,301.43/475,352.20
  6. Step 6: Final answer
    x = 446,674.88

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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.