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Finding the Fourth Proportional to 417,962.68, 576,802.77 and 234,209.00

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Solution

The fourth proportional to 417,962.68, 576,802.77 and 234,209.00 is: 323,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,962.68 : 576,802.77 = 234,209.00 : x
  2. Step 2: Convert to fraction form
    417,962.68/576,802.77 = 234,209.00/x
  3. Step 3: Cross multiply
    417,962.68x = 576,802.77 × 234,209.00
  4. Step 4: Simplify right side
    417,962.68x = 135,092,400,522.65
  5. Step 5: Solve for x
    x = 135,092,400,522.65/417,962.68
  6. Step 6: Final answer
    x = 323,216.42

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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.