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Finding the Fourth Proportional to 522,794.70, 782,442.45 and 459,809.10

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Solution

The fourth proportional to 522,794.70, 782,442.45 and 459,809.10 is: 688,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,794.70 : 782,442.45 = 459,809.10 : x
  2. Step 2: Convert to fraction form
    522,794.70/782,442.45 = 459,809.10/x
  3. Step 3: Cross multiply
    522,794.70x = 782,442.45 × 459,809.10
  4. Step 4: Simplify right side
    522,794.70x = 359,774,158,736.30
  5. Step 5: Solve for x
    x = 359,774,158,736.30/522,794.70
  6. Step 6: Final answer
    x = 688,174.84

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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.