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Finding the Fourth Proportional to 695,216, 959,398.08 and 377,264

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Solution

The fourth proportional to 695,216, 959,398.08 and 377,264 is: 520,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,216 : 959,398.08 = 377,264 : x
  2. Step 2: Convert to fraction form
    695,216/959,398.08 = 377,264/x
  3. Step 3: Cross multiply
    695,216x = 959,398.08 × 377,264
  4. Step 4: Simplify right side
    695,216x = 361,946,357,253.12
  5. Step 5: Solve for x
    x = 361,946,357,253.12/695,216
  6. Step 6: Final answer
    x = 520,624.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.