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Finding the Fourth Proportional to 416,004.10, 623,131.35 and 346,020.10

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Solution

The fourth proportional to 416,004.10, 623,131.35 and 346,020.10 is: 518,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,004.10 : 623,131.35 = 346,020.10 : x
  2. Step 2: Convert to fraction form
    416,004.10/623,131.35 = 346,020.10/x
  3. Step 3: Cross multiply
    416,004.10x = 623,131.35 × 346,020.10
  4. Step 4: Simplify right side
    416,004.10x = 215,615,972,040.14
  5. Step 5: Solve for x
    x = 215,615,972,040.14/416,004.10
  6. Step 6: Final answer
    x = 518,302.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.