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Finding the Fourth Proportional to 615,153.11, 922,729.64 and 194,396.18

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Solution

The fourth proportional to 615,153.11, 922,729.64 and 194,396.18 is: 291,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,153.11 : 922,729.64 = 194,396.18 : x
  2. Step 2: Convert to fraction form
    615,153.11/922,729.64 = 194,396.18/x
  3. Step 3: Cross multiply
    615,153.11x = 922,729.64 × 194,396.18
  4. Step 4: Simplify right side
    615,153.11x = 179,375,111,603.15
  5. Step 5: Solve for x
    x = 179,375,111,603.15/615,153.11
  6. Step 6: Final answer
    x = 291,594.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.