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Finding the Fourth Proportional to 4,658,854.56, 6,988,583.16 and 1,464,114.12

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Solution

The fourth proportional to 4,658,854.56, 6,988,583.16 and 1,464,114.12 is: 2,196,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,854.56 : 6,988,583.16 = 1,464,114.12 : x
  2. Step 2: Convert to fraction form
    4,658,854.56/6,988,583.16 = 1,464,114.12/x
  3. Step 3: Cross multiply
    4,658,854.56x = 6,988,583.16 × 1,464,114.12
  4. Step 4: Simplify right side
    4,658,854.56x = 10,232,083,283,350.22
  5. Step 5: Solve for x
    x = 10,232,083,283,350.22/4,658,854.56
  6. Step 6: Final answer
    x = 2,196,265.87

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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.