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Finding the Fourth Proportional to 493,038.65, 739,224.26 and 193,332.17

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Solution

The fourth proportional to 493,038.65, 739,224.26 and 193,332.17 is: 289,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,038.65 : 739,224.26 = 193,332.17 : x
  2. Step 2: Convert to fraction form
    493,038.65/739,224.26 = 193,332.17/x
  3. Step 3: Cross multiply
    493,038.65x = 739,224.26 × 193,332.17
  4. Step 4: Simplify right side
    493,038.65x = 142,915,831,908.84
  5. Step 5: Solve for x
    x = 142,915,831,908.84/493,038.65
  6. Step 6: Final answer
    x = 289,867.40

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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.