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Finding the Fourth Proportional to 405,913.19, 560,122.10 and 242,537.13

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Solution

The fourth proportional to 405,913.19, 560,122.10 and 242,537.13 is: 334,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,913.19 : 560,122.10 = 242,537.13 : x
  2. Step 2: Convert to fraction form
    405,913.19/560,122.10 = 242,537.13/x
  3. Step 3: Cross multiply
    405,913.19x = 560,122.10 × 242,537.13
  4. Step 4: Simplify right side
    405,913.19x = 135,850,405,370.89
  5. Step 5: Solve for x
    x = 135,850,405,370.89/405,913.19
  6. Step 6: Final answer
    x = 334,678.47

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