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Finding the Fourth Proportional to 390,923.60, 586,270.20 and 154,187.60

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Solution

The fourth proportional to 390,923.60, 586,270.20 and 154,187.60 is: 231,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,923.60 : 586,270.20 = 154,187.60 : x
  2. Step 2: Convert to fraction form
    390,923.60/586,270.20 = 154,187.60/x
  3. Step 3: Cross multiply
    390,923.60x = 586,270.20 × 154,187.60
  4. Step 4: Simplify right side
    390,923.60x = 90,395,595,089.52
  5. Step 5: Solve for x
    x = 90,395,595,089.52/390,923.60
  6. Step 6: Final answer
    x = 231,235.96

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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.