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Finding the Fourth Proportional to 467,533.85, 700,746.93 and 214,601.22

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Solution

The fourth proportional to 467,533.85, 700,746.93 and 214,601.22 is: 321,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,533.85 : 700,746.93 = 214,601.22 : x
  2. Step 2: Convert to fraction form
    467,533.85/700,746.93 = 214,601.22/x
  3. Step 3: Cross multiply
    467,533.85x = 700,746.93 × 214,601.22
  4. Step 4: Simplify right side
    467,533.85x = 150,381,146,089.26
  5. Step 5: Solve for x
    x = 150,381,146,089.26/467,533.85
  6. Step 6: Final answer
    x = 321,647.61

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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.