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Finding the Fourth Proportional to 617,523.66, 852,164.31 and 341,893.77

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Solution

The fourth proportional to 617,523.66, 852,164.31 and 341,893.77 is: 471,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,523.66 : 852,164.31 = 341,893.77 : x
  2. Step 2: Convert to fraction form
    617,523.66/852,164.31 = 341,893.77/x
  3. Step 3: Cross multiply
    617,523.66x = 852,164.31 × 341,893.77
  4. Step 4: Simplify right side
    617,523.66x = 291,349,668,605.35
  5. Step 5: Solve for x
    x = 291,349,668,605.35/617,523.66
  6. Step 6: Final answer
    x = 471,803.25

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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.