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Finding the Fourth Proportional to 386,458.90, 541,411.10 and 386,458.90

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Solution

The fourth proportional to 386,458.90, 541,411.10 and 386,458.90 is: 541,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,458.90 : 541,411.10 = 386,458.90 : x
  2. Step 2: Convert to fraction form
    386,458.90/541,411.10 = 386,458.90/x
  3. Step 3: Cross multiply
    386,458.90x = 541,411.10 × 386,458.90
  4. Step 4: Simplify right side
    386,458.90x = 209,233,138,153.79
  5. Step 5: Solve for x
    x = 209,233,138,153.79/386,458.90
  6. Step 6: Final answer
    x = 541,411.10

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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.