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Finding the Fourth Proportional to 475,333.18, 712,520 and 297,964.75

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Solution

The fourth proportional to 475,333.18, 712,520 and 297,964.75 is: 446,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,333.18 : 712,520 = 297,964.75 : x
  2. Step 2: Convert to fraction form
    475,333.18/712,520 = 297,964.75/x
  3. Step 3: Cross multiply
    475,333.18x = 712,520 × 297,964.75
  4. Step 4: Simplify right side
    475,333.18x = 212,305,843,670
  5. Step 5: Solve for x
    x = 212,305,843,670/475,333.18
  6. Step 6: Final answer
    x = 446,646.38

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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.