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Finding the Fourth Proportional to 420,292.84, 630,392.54 and 150,410.09

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Solution

The fourth proportional to 420,292.84, 630,392.54 and 150,410.09 is: 225,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,292.84 : 630,392.54 = 150,410.09 : x
  2. Step 2: Convert to fraction form
    420,292.84/630,392.54 = 150,410.09/x
  3. Step 3: Cross multiply
    420,292.84x = 630,392.54 × 150,410.09
  4. Step 4: Simplify right side
    420,292.84x = 94,817,397,924.68
  5. Step 5: Solve for x
    x = 94,817,397,924.68/420,292.84
  6. Step 6: Final answer
    x = 225,598.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.