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Finding the Fourth Proportional to 309,632.64, 427,423.68 and 209,166.72

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Solution

The fourth proportional to 309,632.64, 427,423.68 and 209,166.72 is: 288,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,632.64 : 427,423.68 = 209,166.72 : x
  2. Step 2: Convert to fraction form
    309,632.64/427,423.68 = 209,166.72/x
  3. Step 3: Cross multiply
    309,632.64x = 427,423.68 × 209,166.72
  4. Step 4: Simplify right side
    309,632.64x = 89,402,809,195.93
  5. Step 5: Solve for x
    x = 89,402,809,195.93/309,632.64
  6. Step 6: Final answer
    x = 288,738.32

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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.