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Finding the Fourth Proportional to 365,301.76, 547,857.60 and 154,831.36

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Solution

The fourth proportional to 365,301.76, 547,857.60 and 154,831.36 is: 232,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,301.76 : 547,857.60 = 154,831.36 : x
  2. Step 2: Convert to fraction form
    365,301.76/547,857.60 = 154,831.36/x
  3. Step 3: Cross multiply
    365,301.76x = 547,857.60 × 154,831.36
  4. Step 4: Simplify right side
    365,301.76x = 84,825,537,294.34
  5. Step 5: Solve for x
    x = 84,825,537,294.34/365,301.76
  6. Step 6: Final answer
    x = 232,206.76

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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.