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Finding the Fourth Proportional to 509,098.70, 763,453.65 and 153,994.70

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Solution

The fourth proportional to 509,098.70, 763,453.65 and 153,994.70 is: 230,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,098.70 : 763,453.65 = 153,994.70 : x
  2. Step 2: Convert to fraction form
    509,098.70/763,453.65 = 153,994.70/x
  3. Step 3: Cross multiply
    509,098.70x = 763,453.65 × 153,994.70
  4. Step 4: Simplify right side
    509,098.70x = 117,567,815,795.66
  5. Step 5: Solve for x
    x = 117,567,815,795.66/509,098.70
  6. Step 6: Final answer
    x = 230,933.25

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1.5x scale

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.