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Finding the Fourth Proportional to 398,095.56, 597,143.34 and 117,590.94

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Solution

The fourth proportional to 398,095.56, 597,143.34 and 117,590.94 is: 176,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,095.56 : 597,143.34 = 117,590.94 : x
  2. Step 2: Convert to fraction form
    398,095.56/597,143.34 = 117,590.94/x
  3. Step 3: Cross multiply
    398,095.56x = 597,143.34 × 117,590.94
  4. Step 4: Simplify right side
    398,095.56x = 70,218,646,665.34
  5. Step 5: Solve for x
    x = 70,218,646,665.34/398,095.56
  6. Step 6: Final answer
    x = 176,386.41

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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.