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Finding the Fourth Proportional to 475,850.52, 713,594.34 and 160,222.68

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Solution

The fourth proportional to 475,850.52, 713,594.34 and 160,222.68 is: 240,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,850.52 : 713,594.34 = 160,222.68 : x
  2. Step 2: Convert to fraction form
    475,850.52/713,594.34 = 160,222.68/x
  3. Step 3: Cross multiply
    475,850.52x = 713,594.34 × 160,222.68
  4. Step 4: Simplify right side
    475,850.52x = 114,333,997,587.63
  5. Step 5: Solve for x
    x = 114,333,997,587.63/475,850.52
  6. Step 6: Final answer
    x = 240,272.93

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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.