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Finding the Fourth Proportional to 417,349, 575,941.62 and 238,501

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Solution

The fourth proportional to 417,349, 575,941.62 and 238,501 is: 329,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,349 : 575,941.62 = 238,501 : x
  2. Step 2: Convert to fraction form
    417,349/575,941.62 = 238,501/x
  3. Step 3: Cross multiply
    417,349x = 575,941.62 × 238,501
  4. Step 4: Simplify right side
    417,349x = 137,362,652,311.62
  5. Step 5: Solve for x
    x = 137,362,652,311.62/417,349
  6. Step 6: Final answer
    x = 329,131.38

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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.