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Finding the Fourth Proportional to 402,028.34, 601,746.66 and 221,830.47

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Solution

The fourth proportional to 402,028.34, 601,746.66 and 221,830.47 is: 332,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,028.34 : 601,746.66 = 221,830.47 : x
  2. Step 2: Convert to fraction form
    402,028.34/601,746.66 = 221,830.47/x
  3. Step 3: Cross multiply
    402,028.34x = 601,746.66 × 221,830.47
  4. Step 4: Simplify right side
    402,028.34x = 133,485,744,408.73
  5. Step 5: Solve for x
    x = 133,485,744,408.73/402,028.34
  6. Step 6: Final answer
    x = 332,030.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.