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Finding the Fourth Proportional to 696,671.86, 961,314.11 and 386,569.30

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Solution

The fourth proportional to 696,671.86, 961,314.11 and 386,569.30 is: 533,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,671.86 : 961,314.11 = 386,569.30 : x
  2. Step 2: Convert to fraction form
    696,671.86/961,314.11 = 386,569.30/x
  3. Step 3: Cross multiply
    696,671.86x = 961,314.11 × 386,569.30
  4. Step 4: Simplify right side
    696,671.86x = 371,614,522,582.82
  5. Step 5: Solve for x
    x = 371,614,522,582.82/696,671.86
  6. Step 6: Final answer
    x = 533,414.00

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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.