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Finding the Fourth Proportional to 405,825.72, 559,934.40 and 242,415.36

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Solution

The fourth proportional to 405,825.72, 559,934.40 and 242,415.36 is: 334,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825.72 : 559,934.40 = 242,415.36 : x
  2. Step 2: Convert to fraction form
    405,825.72/559,934.40 = 242,415.36/x
  3. Step 3: Cross multiply
    405,825.72x = 559,934.40 × 242,415.36
  4. Step 4: Simplify right side
    405,825.72x = 135,736,699,152.38
  5. Step 5: Solve for x
    x = 135,736,699,152.38/405,825.72
  6. Step 6: Final answer
    x = 334,470.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.