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Finding the Fourth Proportional to 411,111, 616,745.88 and 144,880.20

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Solution

The fourth proportional to 411,111, 616,745.88 and 144,880.20 is: 217,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,111 : 616,745.88 = 144,880.20 : x
  2. Step 2: Convert to fraction form
    411,111/616,745.88 = 144,880.20/x
  3. Step 3: Cross multiply
    411,111x = 616,745.88 × 144,880.20
  4. Step 4: Simplify right side
    411,111x = 89,354,266,443.58
  5. Step 5: Solve for x
    x = 89,354,266,443.58/411,111
  6. Step 6: Final answer
    x = 217,348.27

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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.