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Finding the Fourth Proportional to 342,929.50, 514,410.65 and 165,585.67

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Solution

The fourth proportional to 342,929.50, 514,410.65 and 165,585.67 is: 248,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,929.50 : 514,410.65 = 165,585.67 : x
  2. Step 2: Convert to fraction form
    342,929.50/514,410.65 = 165,585.67/x
  3. Step 3: Cross multiply
    342,929.50x = 514,410.65 × 165,585.67
  4. Step 4: Simplify right side
    342,929.50x = 85,179,030,642.38
  5. Step 5: Solve for x
    x = 85,179,030,642.38/342,929.50
  6. Step 6: Final answer
    x = 248,386.42

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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.