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Finding the Fourth Proportional to 615,035.14, 922,547.22 and 194,311

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Solution

The fourth proportional to 615,035.14, 922,547.22 and 194,311 is: 291,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,035.14 : 922,547.22 = 194,311 : x
  2. Step 2: Convert to fraction form
    615,035.14/922,547.22 = 194,311/x
  3. Step 3: Cross multiply
    615,035.14x = 922,547.22 × 194,311
  4. Step 4: Simplify right side
    615,035.14x = 179,261,072,865.42
  5. Step 5: Solve for x
    x = 179,261,072,865.42/615,035.14
  6. Step 6: Final answer
    x = 291,464.77

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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.