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Finding the Fourth Proportional to 360,013.16, 496,797.60 and 214,982.62

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Solution

The fourth proportional to 360,013.16, 496,797.60 and 214,982.62 is: 296,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,013.16 : 496,797.60 = 214,982.62 : x
  2. Step 2: Convert to fraction form
    360,013.16/496,797.60 = 214,982.62/x
  3. Step 3: Cross multiply
    360,013.16x = 496,797.60 × 214,982.62
  4. Step 4: Simplify right side
    360,013.16x = 106,802,849,657.71
  5. Step 5: Solve for x
    x = 106,802,849,657.71/360,013.16
  6. Step 6: Final answer
    x = 296,663.74

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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.