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Finding the Fourth Proportional to 342,488.16, 472,343.48 and 206,492.24

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Solution

The fourth proportional to 342,488.16, 472,343.48 and 206,492.24 is: 284,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,488.16 : 472,343.48 = 206,492.24 : x
  2. Step 2: Convert to fraction form
    342,488.16/472,343.48 = 206,492.24/x
  3. Step 3: Cross multiply
    342,488.16x = 472,343.48 × 206,492.24
  4. Step 4: Simplify right side
    342,488.16x = 97,535,263,234.60
  5. Step 5: Solve for x
    x = 97,535,263,234.60/342,488.16
  6. Step 6: Final answer
    x = 284,784.34

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1.5x scale

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.