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Finding the Fourth Proportional to 703,855, 970,245.03 and 431,417.98

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Solution

The fourth proportional to 703,855, 970,245.03 and 431,417.98 is: 594,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,855 : 970,245.03 = 431,417.98 : x
  2. Step 2: Convert to fraction form
    703,855/970,245.03 = 431,417.98/x
  3. Step 3: Cross multiply
    703,855x = 970,245.03 × 431,417.98
  4. Step 4: Simplify right side
    703,855x = 418,581,150,947.64
  5. Step 5: Solve for x
    x = 418,581,150,947.64/703,855
  6. Step 6: Final answer
    x = 594,697.99

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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.