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Finding the Fourth Proportional to 411,118.92, 616,784.50 and 126,803.06

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Solution

The fourth proportional to 411,118.92, 616,784.50 and 126,803.06 is: 190,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,118.92 : 616,784.50 = 126,803.06 : x
  2. Step 2: Convert to fraction form
    411,118.92/616,784.50 = 126,803.06/x
  3. Step 3: Cross multiply
    411,118.92x = 616,784.50 × 126,803.06
  4. Step 4: Simplify right side
    411,118.92x = 78,210,161,960.57
  5. Step 5: Solve for x
    x = 78,210,161,960.57/411,118.92
  6. Step 6: Final answer
    x = 190,237.32

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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.