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Finding the Fourth Proportional to 386,607.18, 533,492.28 and 214,514.24

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Solution

The fourth proportional to 386,607.18, 533,492.28 and 214,514.24 is: 296,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,607.18 : 533,492.28 = 214,514.24 : x
  2. Step 2: Convert to fraction form
    386,607.18/533,492.28 = 214,514.24/x
  3. Step 3: Cross multiply
    386,607.18x = 533,492.28 × 214,514.24
  4. Step 4: Simplify right side
    386,607.18x = 114,441,688,322.61
  5. Step 5: Solve for x
    x = 114,441,688,322.61/386,607.18
  6. Step 6: Final answer
    x = 296,015.42

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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.