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Finding the Fourth Proportional to 1,190,404.80, 1,782,982.80 and 1,032,940.80

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Solution

The fourth proportional to 1,190,404.80, 1,782,982.80 and 1,032,940.80 is: 1,547,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190,404.80 : 1,782,982.80 = 1,032,940.80 : x
  2. Step 2: Convert to fraction form
    1,190,404.80/1,782,982.80 = 1,032,940.80/x
  3. Step 3: Cross multiply
    1,190,404.80x = 1,782,982.80 × 1,032,940.80
  4. Step 4: Simplify right side
    1,190,404.80x = 1,841,715,679,818.24
  5. Step 5: Solve for x
    x = 1,841,715,679,818.24/1,190,404.80
  6. Step 6: Final answer
    x = 1,547,133.95

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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.