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Finding the Fourth Proportional to 5,189,308.78, 7,784,707.50 and 1,595,377.53

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Solution

The fourth proportional to 5,189,308.78, 7,784,707.50 and 1,595,377.53 is: 2,393,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,308.78 : 7,784,707.50 = 1,595,377.53 : x
  2. Step 2: Convert to fraction form
    5,189,308.78/7,784,707.50 = 1,595,377.53/x
  3. Step 3: Cross multiply
    5,189,308.78x = 7,784,707.50 × 1,595,377.53
  4. Step 4: Simplify right side
    5,189,308.78x = 12,419,547,423,122.47
  5. Step 5: Solve for x
    x = 12,419,547,423,122.47/5,189,308.78
  6. Step 6: Final answer
    x = 2,393,295.13

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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.