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Finding the Fourth Proportional to 342,323.12, 513,606.34 and 152,766.24

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Solution

The fourth proportional to 342,323.12, 513,606.34 and 152,766.24 is: 229,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,323.12 : 513,606.34 = 152,766.24 : x
  2. Step 2: Convert to fraction form
    342,323.12/513,606.34 = 152,766.24/x
  3. Step 3: Cross multiply
    342,323.12x = 513,606.34 × 152,766.24
  4. Step 4: Simplify right side
    342,323.12x = 78,461,709,401.96
  5. Step 5: Solve for x
    x = 78,461,709,401.96/342,323.12
  6. Step 6: Final answer
    x = 229,203.65

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1.5x scale

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.