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Finding the Fourth Proportional to 416,784, 575,173.68 and 235,503.60

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Solution

The fourth proportional to 416,784, 575,173.68 and 235,503.60 is: 325,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,784 : 575,173.68 = 235,503.60 : x
  2. Step 2: Convert to fraction form
    416,784/575,173.68 = 235,503.60/x
  3. Step 3: Cross multiply
    416,784x = 575,173.68 × 235,503.60
  4. Step 4: Simplify right side
    416,784x = 135,455,472,265.25
  5. Step 5: Solve for x
    x = 135,455,472,265.25/416,784
  6. Step 6: Final answer
    x = 325,001.61

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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.