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Finding the Fourth Proportional to 467,065.70, 698,039.41 and 340,971.48

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Solution

The fourth proportional to 467,065.70, 698,039.41 and 340,971.48 is: 509,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,065.70 : 698,039.41 = 340,971.48 : x
  2. Step 2: Convert to fraction form
    467,065.70/698,039.41 = 340,971.48/x
  3. Step 3: Cross multiply
    467,065.70x = 698,039.41 × 340,971.48
  4. Step 4: Simplify right side
    467,065.70x = 238,011,530,726.03
  5. Step 5: Solve for x
    x = 238,011,530,726.03/467,065.70
  6. Step 6: Final answer
    x = 509,588.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.