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Finding the Fourth Proportional to 411,416.70, 617,125.05 and 201,464.70

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Solution

The fourth proportional to 411,416.70, 617,125.05 and 201,464.70 is: 302,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.70 : 617,125.05 = 201,464.70 : x
  2. Step 2: Convert to fraction form
    411,416.70/617,125.05 = 201,464.70/x
  3. Step 3: Cross multiply
    411,416.70x = 617,125.05 × 201,464.70
  4. Step 4: Simplify right side
    411,416.70x = 124,328,913,060.74
  5. Step 5: Solve for x
    x = 124,328,913,060.74/411,416.70
  6. Step 6: Final answer
    x = 302,197.05

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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.