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Finding the Fourth Proportional to 411,248.39, 616,670.27 and 144,970.20

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Solution

The fourth proportional to 411,248.39, 616,670.27 and 144,970.20 is: 217,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,248.39 : 616,670.27 = 144,970.20 : x
  2. Step 2: Convert to fraction form
    411,248.39/616,670.27 = 144,970.20/x
  3. Step 3: Cross multiply
    411,248.39x = 616,670.27 × 144,970.20
  4. Step 4: Simplify right side
    411,248.39x = 89,398,811,651.10
  5. Step 5: Solve for x
    x = 89,398,811,651.10/411,248.39
  6. Step 6: Final answer
    x = 217,383.98

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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.