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Finding the Fourth Proportional to 357,465.66, 493,346.35 and 206,562.66

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Solution

The fourth proportional to 357,465.66, 493,346.35 and 206,562.66 is: 285,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,465.66 : 493,346.35 = 206,562.66 : x
  2. Step 2: Convert to fraction form
    357,465.66/493,346.35 = 206,562.66/x
  3. Step 3: Cross multiply
    357,465.66x = 493,346.35 × 206,562.66
  4. Step 4: Simplify right side
    357,465.66x = 101,906,931,603.53
  5. Step 5: Solve for x
    x = 101,906,931,603.53/357,465.66
  6. Step 6: Final answer
    x = 285,081.74

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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.