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Finding the Fourth Proportional to 493,166.70, 739,203.30 and 193,547.70

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Solution

The fourth proportional to 493,166.70, 739,203.30 and 193,547.70 is: 290,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,166.70 : 739,203.30 = 193,547.70 : x
  2. Step 2: Convert to fraction form
    493,166.70/739,203.30 = 193,547.70/x
  3. Step 3: Cross multiply
    493,166.70x = 739,203.30 × 193,547.70
  4. Step 4: Simplify right side
    493,166.70x = 143,071,098,547.41
  5. Step 5: Solve for x
    x = 143,071,098,547.41/493,166.70
  6. Step 6: Final answer
    x = 290,106.97

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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.