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Finding the Fourth Proportional to 473,902.02, 654,002.37 and 259,056.66

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Solution

The fourth proportional to 473,902.02, 654,002.37 and 259,056.66 is: 357,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,902.02 : 654,002.37 = 259,056.66 : x
  2. Step 2: Convert to fraction form
    473,902.02/654,002.37 = 259,056.66/x
  3. Step 3: Cross multiply
    473,902.02x = 654,002.37 × 259,056.66
  4. Step 4: Simplify right side
    473,902.02x = 169,423,669,604.28
  5. Step 5: Solve for x
    x = 169,423,669,604.28/473,902.02
  6. Step 6: Final answer
    x = 357,507.80

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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.