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Finding the Fourth Proportional to 354,645.64, 489,420.66 and 211,417.48

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Solution

The fourth proportional to 354,645.64, 489,420.66 and 211,417.48 is: 291,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,645.64 : 489,420.66 = 211,417.48 : x
  2. Step 2: Convert to fraction form
    354,645.64/489,420.66 = 211,417.48/x
  3. Step 3: Cross multiply
    354,645.64x = 489,420.66 × 211,417.48
  4. Step 4: Simplify right side
    354,645.64x = 103,472,082,597.14
  5. Step 5: Solve for x
    x = 103,472,082,597.14/354,645.64
  6. Step 6: Final answer
    x = 291,761.89

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