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Finding the Fourth Proportional to 342,464.83, 513,700.71 and 152,934.85

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Solution

The fourth proportional to 342,464.83, 513,700.71 and 152,934.85 is: 229,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,464.83 : 513,700.71 = 152,934.85 : x
  2. Step 2: Convert to fraction form
    342,464.83/513,700.71 = 152,934.85/x
  3. Step 3: Cross multiply
    342,464.83x = 513,700.71 × 152,934.85
  4. Step 4: Simplify right side
    342,464.83x = 78,562,738,460.24
  5. Step 5: Solve for x
    x = 78,562,738,460.24/342,464.83
  6. Step 6: Final answer
    x = 229,403.82

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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.