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Finding the Fourth Proportional to 386,142.16, 532,890.60 and 216,370

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Solution

The fourth proportional to 386,142.16, 532,890.60 and 216,370 is: 298,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,142.16 : 532,890.60 = 216,370 : x
  2. Step 2: Convert to fraction form
    386,142.16/532,890.60 = 216,370/x
  3. Step 3: Cross multiply
    386,142.16x = 532,890.60 × 216,370
  4. Step 4: Simplify right side
    386,142.16x = 115,301,539,122
  5. Step 5: Solve for x
    x = 115,301,539,122/386,142.16
  6. Step 6: Final answer
    x = 298,598.68

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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.