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Finding the Fourth Proportional to 475,907.64, 712,771.86 and 239,317.56

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Solution

The fourth proportional to 475,907.64, 712,771.86 and 239,317.56 is: 358,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,907.64 : 712,771.86 = 239,317.56 : x
  2. Step 2: Convert to fraction form
    475,907.64/712,771.86 = 239,317.56/x
  3. Step 3: Cross multiply
    475,907.64x = 712,771.86 × 239,317.56
  4. Step 4: Simplify right side
    475,907.64x = 170,578,822,371.86
  5. Step 5: Solve for x
    x = 170,578,822,371.86/475,907.64
  6. Step 6: Final answer
    x = 358,428.42

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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.