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Finding the Fourth Proportional to 342,833.66, 514,582.18 and 165,465.53

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Solution

The fourth proportional to 342,833.66, 514,582.18 and 165,465.53 is: 248,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,833.66 : 514,582.18 = 165,465.53 : x
  2. Step 2: Convert to fraction form
    342,833.66/514,582.18 = 165,465.53/x
  3. Step 3: Cross multiply
    342,833.66x = 514,582.18 × 165,465.53
  4. Step 4: Simplify right side
    342,833.66x = 85,145,610,155.68
  5. Step 5: Solve for x
    x = 85,145,610,155.68/342,833.66
  6. Step 6: Final answer
    x = 248,358.38

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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.