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Finding the Fourth Proportional to 473,005.30, 709,853.55 and 333,037.30

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Solution

The fourth proportional to 473,005.30, 709,853.55 and 333,037.30 is: 499,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,005.30 : 709,853.55 = 333,037.30 : x
  2. Step 2: Convert to fraction form
    473,005.30/709,853.55 = 333,037.30/x
  3. Step 3: Cross multiply
    473,005.30x = 709,853.55 × 333,037.30
  4. Step 4: Simplify right side
    473,005.30x = 236,407,709,687.42
  5. Step 5: Solve for x
    x = 236,407,709,687.42/473,005.30
  6. Step 6: Final answer
    x = 499,799.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.