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Finding the Fourth Proportional to 352,056.30, 528,084.45 and 313,349.10

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Solution

The fourth proportional to 352,056.30, 528,084.45 and 313,349.10 is: 470,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,056.30 : 528,084.45 = 313,349.10 : x
  2. Step 2: Convert to fraction form
    352,056.30/528,084.45 = 313,349.10/x
  3. Step 3: Cross multiply
    352,056.30x = 528,084.45 × 313,349.10
  4. Step 4: Simplify right side
    352,056.30x = 165,474,787,131.50
  5. Step 5: Solve for x
    x = 165,474,787,131.50/352,056.30
  6. Step 6: Final answer
    x = 470,023.65

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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.