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Finding the Fourth Proportional to 475,349.09, 712,543.57 and 297,980.42

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Solution

The fourth proportional to 475,349.09, 712,543.57 and 297,980.42 is: 446,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,349.09 : 712,543.57 = 297,980.42 : x
  2. Step 2: Convert to fraction form
    475,349.09/712,543.57 = 297,980.42/x
  3. Step 3: Cross multiply
    475,349.09x = 712,543.57 × 297,980.42
  4. Step 4: Simplify right side
    475,349.09x = 212,324,027,949.23
  5. Step 5: Solve for x
    x = 212,324,027,949.23/475,349.09
  6. Step 6: Final answer
    x = 446,669.69

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