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Finding the Fourth Proportional to 604,783.14, 834,634.98 and 346,702.83

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Solution

The fourth proportional to 604,783.14, 834,634.98 and 346,702.83 is: 478,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,783.14 : 834,634.98 = 346,702.83 : x
  2. Step 2: Convert to fraction form
    604,783.14/834,634.98 = 346,702.83/x
  3. Step 3: Cross multiply
    604,783.14x = 834,634.98 × 346,702.83
  4. Step 4: Simplify right side
    604,783.14x = 289,370,309,582.99
  5. Step 5: Solve for x
    x = 289,370,309,582.99/604,783.14
  6. Step 6: Final answer
    x = 478,469.54

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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.