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Finding the Fourth Proportional to 610,258.44, 842,206.54 and 338,411.60

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Solution

The fourth proportional to 610,258.44, 842,206.54 and 338,411.60 is: 467,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,258.44 : 842,206.54 = 338,411.60 : x
  2. Step 2: Convert to fraction form
    610,258.44/842,206.54 = 338,411.60/x
  3. Step 3: Cross multiply
    610,258.44x = 842,206.54 × 338,411.60
  4. Step 4: Simplify right side
    610,258.44x = 285,012,462,731.86
  5. Step 5: Solve for x
    x = 285,012,462,731.86/610,258.44
  6. Step 6: Final answer
    x = 467,035.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.