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Finding the Fourth Proportional to 470,477.58, 705,633.08 and 214,251.45

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Solution

The fourth proportional to 470,477.58, 705,633.08 and 214,251.45 is: 321,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,477.58 : 705,633.08 = 214,251.45 : x
  2. Step 2: Convert to fraction form
    470,477.58/705,633.08 = 214,251.45/x
  3. Step 3: Cross multiply
    470,477.58x = 705,633.08 × 214,251.45
  4. Step 4: Simplify right side
    470,477.58x = 151,182,909,486.71
  5. Step 5: Solve for x
    x = 151,182,909,486.71/470,477.58
  6. Step 6: Final answer
    x = 321,339.24

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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.