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Finding the Fourth Proportional to 493,511.90, 738,955.65 and 315,052.70

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Solution

The fourth proportional to 493,511.90, 738,955.65 and 315,052.70 is: 471,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,511.90 : 738,955.65 = 315,052.70 : x
  2. Step 2: Convert to fraction form
    493,511.90/738,955.65 = 315,052.70/x
  3. Step 3: Cross multiply
    493,511.90x = 738,955.65 × 315,052.70
  4. Step 4: Simplify right side
    493,511.90x = 232,809,972,712.76
  5. Step 5: Solve for x
    x = 232,809,972,712.76/493,511.90
  6. Step 6: Final answer
    x = 471,741.36

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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.