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Finding the Fourth Proportional to 386,258.36, 533,034.86 and 216,492.48

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Solution

The fourth proportional to 386,258.36, 533,034.86 and 216,492.48 is: 298,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,258.36 : 533,034.86 = 216,492.48 : x
  2. Step 2: Convert to fraction form
    386,258.36/533,034.86 = 216,492.48/x
  3. Step 3: Cross multiply
    386,258.36x = 533,034.86 × 216,492.48
  4. Step 4: Simplify right side
    386,258.36x = 115,398,038,767.85
  5. Step 5: Solve for x
    x = 115,398,038,767.85/386,258.36
  6. Step 6: Final answer
    x = 298,758.68

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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.