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Finding the Fourth Proportional to 615,457.08, 923,093.16 and 194,678.28

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Solution

The fourth proportional to 615,457.08, 923,093.16 and 194,678.28 is: 291,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,457.08 : 923,093.16 = 194,678.28 : x
  2. Step 2: Convert to fraction form
    615,457.08/923,093.16 = 194,678.28/x
  3. Step 3: Cross multiply
    615,457.08x = 923,093.16 × 194,678.28
  4. Step 4: Simplify right side
    615,457.08x = 179,706,188,668.57
  5. Step 5: Solve for x
    x = 179,706,188,668.57/615,457.08
  6. Step 6: Final answer
    x = 291,988.17

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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.