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Finding the Fourth Proportional to 467,465.10, 700,643.94 and 214,532.47

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Solution

The fourth proportional to 467,465.10, 700,643.94 and 214,532.47 is: 321,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,465.10 : 700,643.94 = 214,532.47 : x
  2. Step 2: Convert to fraction form
    467,465.10/700,643.94 = 214,532.47/x
  3. Step 3: Cross multiply
    467,465.10x = 700,643.94 × 214,532.47
  4. Step 4: Simplify right side
    467,465.10x = 150,310,875,038.73
  5. Step 5: Solve for x
    x = 150,310,875,038.73/467,465.10
  6. Step 6: Final answer
    x = 321,544.59

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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.