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Finding the Fourth Proportional to 410,357.34, 615,752.73 and 291,184.36

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Solution

The fourth proportional to 410,357.34, 615,752.73 and 291,184.36 is: 436,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,357.34 : 615,752.73 = 291,184.36 : x
  2. Step 2: Convert to fraction form
    410,357.34/615,752.73 = 291,184.36/x
  3. Step 3: Cross multiply
    410,357.34x = 615,752.73 × 291,184.36
  4. Step 4: Simplify right side
    410,357.34x = 179,297,563,063.92
  5. Step 5: Solve for x
    x = 179,297,563,063.92/410,357.34
  6. Step 6: Final answer
    x = 436,930.32

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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.