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Finding the Fourth Proportional to 1,100,541.70, 1,537,609.10 and 1,100,541.70

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Solution

The fourth proportional to 1,100,541.70, 1,537,609.10 and 1,100,541.70 is: 1,537,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,541.70 : 1,537,609.10 = 1,100,541.70 : x
  2. Step 2: Convert to fraction form
    1,100,541.70/1,537,609.10 = 1,100,541.70/x
  3. Step 3: Cross multiply
    1,100,541.70x = 1,537,609.10 × 1,100,541.70
  4. Step 4: Simplify right side
    1,100,541.70x = 1,692,202,932,849.47
  5. Step 5: Solve for x
    x = 1,692,202,932,849.47/1,100,541.70
  6. Step 6: Final answer
    x = 1,537,609.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.