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Finding the Fourth Proportional to 1,609,258.10, 2,259,259.90 and 1,609,258.10

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Solution

The fourth proportional to 1,609,258.10, 2,259,259.90 and 1,609,258.10 is: 2,259,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,258.10 : 2,259,259.90 = 1,609,258.10 : x
  2. Step 2: Convert to fraction form
    1,609,258.10/2,259,259.90 = 1,609,258.10/x
  3. Step 3: Cross multiply
    1,609,258.10x = 2,259,259.90 × 1,609,258.10
  4. Step 4: Simplify right side
    1,609,258.10x = 3,635,732,294,080.19
  5. Step 5: Solve for x
    x = 3,635,732,294,080.19/1,609,258.10
  6. Step 6: Final answer
    x = 2,259,259.90

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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.