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Finding the Fourth Proportional to 412,833, 619,353.54 and 117,345

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Solution

The fourth proportional to 412,833, 619,353.54 and 117,345 is: 176,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,833 : 619,353.54 = 117,345 : x
  2. Step 2: Convert to fraction form
    412,833/619,353.54 = 117,345/x
  3. Step 3: Cross multiply
    412,833x = 619,353.54 × 117,345
  4. Step 4: Simplify right side
    412,833x = 72,678,041,151.30
  5. Step 5: Solve for x
    x = 72,678,041,151.30/412,833
  6. Step 6: Final answer
    x = 176,047.07

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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.