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Finding the Fourth Proportional to 411,098.40, 616,638.84 and 189,482.40

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Solution

The fourth proportional to 411,098.40, 616,638.84 and 189,482.40 is: 284,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,098.40 : 616,638.84 = 189,482.40 : x
  2. Step 2: Convert to fraction form
    411,098.40/616,638.84 = 189,482.40/x
  3. Step 3: Cross multiply
    411,098.40x = 616,638.84 × 189,482.40
  4. Step 4: Simplify right side
    411,098.40x = 116,842,207,336.42
  5. Step 5: Solve for x
    x = 116,842,207,336.42/411,098.40
  6. Step 6: Final answer
    x = 284,219.56

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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.