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Finding the Fourth Proportional to 411,203.04, 616,505.52 and 277,752.48

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Solution

The fourth proportional to 411,203.04, 616,505.52 and 277,752.48 is: 416,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,203.04 : 616,505.52 = 277,752.48 : x
  2. Step 2: Convert to fraction form
    411,203.04/616,505.52 = 277,752.48/x
  3. Step 3: Cross multiply
    411,203.04x = 616,505.52 × 277,752.48
  4. Step 4: Simplify right side
    411,203.04x = 171,235,937,113.69
  5. Step 5: Solve for x
    x = 171,235,937,113.69/411,203.04
  6. Step 6: Final answer
    x = 416,426.73

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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.