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Finding the Fourth Proportional to 366,816.92, 506,200.86 and 205,671.47

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Solution

The fourth proportional to 366,816.92, 506,200.86 and 205,671.47 is: 283,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,816.92 : 506,200.86 = 205,671.47 : x
  2. Step 2: Convert to fraction form
    366,816.92/506,200.86 = 205,671.47/x
  3. Step 3: Cross multiply
    366,816.92x = 506,200.86 × 205,671.47
  4. Step 4: Simplify right side
    366,816.92x = 104,111,072,460.46
  5. Step 5: Solve for x
    x = 104,111,072,460.46/366,816.92
  6. Step 6: Final answer
    x = 283,822.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.