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Finding the Fourth Proportional to 411,129.12, 616,684.08 and 189,513.12

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Solution

The fourth proportional to 411,129.12, 616,684.08 and 189,513.12 is: 284,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,129.12 : 616,684.08 = 189,513.12 : x
  2. Step 2: Convert to fraction form
    411,129.12/616,684.08 = 189,513.12/x
  3. Step 3: Cross multiply
    411,129.12x = 616,684.08 × 189,513.12
  4. Step 4: Simplify right side
    411,129.12x = 116,869,724,055.13
  5. Step 5: Solve for x
    x = 116,869,724,055.13/411,129.12
  6. Step 6: Final answer
    x = 284,265.25

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1.5x scale

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.