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Finding the Fourth Proportional to 411,329.80, 616,533.90 and 233,921.80

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Solution

The fourth proportional to 411,329.80, 616,533.90 and 233,921.80 is: 350,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,329.80 : 616,533.90 = 233,921.80 : x
  2. Step 2: Convert to fraction form
    411,329.80/616,533.90 = 233,921.80/x
  3. Step 3: Cross multiply
    411,329.80x = 616,533.90 × 233,921.80
  4. Step 4: Simplify right side
    411,329.80x = 144,220,719,649.02
  5. Step 5: Solve for x
    x = 144,220,719,649.02/411,329.80
  6. Step 6: Final answer
    x = 350,620.64

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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.