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Finding the Fourth Proportional to 1,365,604.10, 1,908,302.80 and 1,365,604.10

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Solution

The fourth proportional to 1,365,604.10, 1,908,302.80 and 1,365,604.10 is: 1,908,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,604.10 : 1,908,302.80 = 1,365,604.10 : x
  2. Step 2: Convert to fraction form
    1,365,604.10/1,908,302.80 = 1,365,604.10/x
  3. Step 3: Cross multiply
    1,365,604.10x = 1,908,302.80 × 1,365,604.10
  4. Step 4: Simplify right side
    1,365,604.10x = 2,605,986,127,721.48
  5. Step 5: Solve for x
    x = 2,605,986,127,721.48/1,365,604.10
  6. Step 6: Final answer
    x = 1,908,302.80

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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.