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Finding the Fourth Proportional to 407,364.29, 610,809.62 and 272,582.38

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Solution

The fourth proportional to 407,364.29, 610,809.62 and 272,582.38 is: 408,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,364.29 : 610,809.62 = 272,582.38 : x
  2. Step 2: Convert to fraction form
    407,364.29/610,809.62 = 272,582.38/x
  3. Step 3: Cross multiply
    407,364.29x = 610,809.62 × 272,582.38
  4. Step 4: Simplify right side
    407,364.29x = 166,495,942,552.12
  5. Step 5: Solve for x
    x = 166,495,942,552.12/407,364.29
  6. Step 6: Final answer
    x = 408,715.12

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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.