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Finding the Fourth Proportional to 472,161.16, 647,916.77 and 429,393.16

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Solution

The fourth proportional to 472,161.16, 647,916.77 and 429,393.16 is: 589,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,161.16 : 647,916.77 = 429,393.16 : x
  2. Step 2: Convert to fraction form
    472,161.16/647,916.77 = 429,393.16/x
  3. Step 3: Cross multiply
    472,161.16x = 647,916.77 × 429,393.16
  4. Step 4: Simplify right side
    472,161.16x = 278,211,029,287.29
  5. Step 5: Solve for x
    x = 278,211,029,287.29/472,161.16
  6. Step 6: Final answer
    x = 589,228.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.