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Finding the Fourth Proportional to 411,417.70, 617,126.55 and 201,465.70

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Solution

The fourth proportional to 411,417.70, 617,126.55 and 201,465.70 is: 302,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,417.70 : 617,126.55 = 201,465.70 : x
  2. Step 2: Convert to fraction form
    411,417.70/617,126.55 = 201,465.70/x
  3. Step 3: Cross multiply
    411,417.70x = 617,126.55 × 201,465.70
  4. Step 4: Simplify right side
    411,417.70x = 124,329,832,384.34
  5. Step 5: Solve for x
    x = 124,329,832,384.34/411,417.70
  6. Step 6: Final answer
    x = 302,198.55

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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.