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Finding the Fourth Proportional to 567,011.13, 850,533.09 and 146,287

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Solution

The fourth proportional to 567,011.13, 850,533.09 and 146,287 is: 219,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,011.13 : 850,533.09 = 146,287 : x
  2. Step 2: Convert to fraction form
    567,011.13/850,533.09 = 146,287/x
  3. Step 3: Cross multiply
    567,011.13x = 850,533.09 × 146,287
  4. Step 4: Simplify right side
    567,011.13x = 124,421,934,136.83
  5. Step 5: Solve for x
    x = 124,421,934,136.83/567,011.13
  6. Step 6: Final answer
    x = 219,434.73

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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.