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Finding the Fourth Proportional to 604,782.64, 834,634.29 and 346,702.33

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Solution

The fourth proportional to 604,782.64, 834,634.29 and 346,702.33 is: 478,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,782.64 : 834,634.29 = 346,702.33 : x
  2. Step 2: Convert to fraction form
    604,782.64/834,634.29 = 346,702.33/x
  3. Step 3: Cross multiply
    604,782.64x = 834,634.29 × 346,702.33
  4. Step 4: Simplify right side
    604,782.64x = 289,369,653,040.90
  5. Step 5: Solve for x
    x = 289,369,653,040.90/604,782.64
  6. Step 6: Final answer
    x = 478,468.85

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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.