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Finding the Fourth Proportional to 416,072.60, 623,234.10 and 346,088.60

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Solution

The fourth proportional to 416,072.60, 623,234.10 and 346,088.60 is: 518,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,072.60 : 623,234.10 = 346,088.60 : x
  2. Step 2: Convert to fraction form
    416,072.60/623,234.10 = 346,088.60/x
  3. Step 3: Cross multiply
    416,072.60x = 623,234.10 × 346,088.60
  4. Step 4: Simplify right side
    416,072.60x = 215,694,217,141.26
  5. Step 5: Solve for x
    x = 215,694,217,141.26/416,072.60
  6. Step 6: Final answer
    x = 518,405.24

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Why These Related Problems?

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