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Finding the Fourth Proportional to 470,872.02, 701,872.24 and 433,080.66

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Solution

The fourth proportional to 470,872.02, 701,872.24 and 433,080.66 is: 645,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,872.02 : 701,872.24 = 433,080.66 : x
  2. Step 2: Convert to fraction form
    470,872.02/701,872.24 = 433,080.66/x
  3. Step 3: Cross multiply
    470,872.02x = 701,872.24 × 433,080.66
  4. Step 4: Simplify right side
    470,872.02x = 303,967,292,934.88
  5. Step 5: Solve for x
    x = 303,967,292,934.88/470,872.02
  6. Step 6: Final answer
    x = 645,541.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.