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Finding the Fourth Proportional to 307,802.31, 462,404.09 and 222,675.74

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Solution

The fourth proportional to 307,802.31, 462,404.09 and 222,675.74 is: 334,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,802.31 : 462,404.09 = 222,675.74 : x
  2. Step 2: Convert to fraction form
    307,802.31/462,404.09 = 222,675.74/x
  3. Step 3: Cross multiply
    307,802.31x = 462,404.09 × 222,675.74
  4. Step 4: Simplify right side
    307,802.31x = 102,966,169,494.38
  5. Step 5: Solve for x
    x = 102,966,169,494.38/307,802.31
  6. Step 6: Final answer
    x = 334,520.46

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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.