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Finding the Fourth Proportional to 411,465.52, 617,193.80 and 312,235.12

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Solution

The fourth proportional to 411,465.52, 617,193.80 and 312,235.12 is: 468,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,465.52 : 617,193.80 = 312,235.12 : x
  2. Step 2: Convert to fraction form
    411,465.52/617,193.80 = 312,235.12/x
  3. Step 3: Cross multiply
    411,465.52x = 617,193.80 × 312,235.12
  4. Step 4: Simplify right side
    411,465.52x = 192,709,580,206.26
  5. Step 5: Solve for x
    x = 192,709,580,206.26/411,465.52
  6. Step 6: Final answer
    x = 468,349.28

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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.