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Finding the Fourth Proportional to 475,283.60, 712,899.44 and 159,707.60

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Solution

The fourth proportional to 475,283.60, 712,899.44 and 159,707.60 is: 239,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,283.60 : 712,899.44 = 159,707.60 : x
  2. Step 2: Convert to fraction form
    475,283.60/712,899.44 = 159,707.60/x
  3. Step 3: Cross multiply
    475,283.60x = 712,899.44 × 159,707.60
  4. Step 4: Simplify right side
    475,283.60x = 113,855,458,603.74
  5. Step 5: Solve for x
    x = 113,855,458,603.74/475,283.60
  6. Step 6: Final answer
    x = 239,552.68

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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.