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Finding the Fourth Proportional to 604,889.57, 834,649.92 and 346,719

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Solution

The fourth proportional to 604,889.57, 834,649.92 and 346,719 is: 478,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,889.57 : 834,649.92 = 346,719 : x
  2. Step 2: Convert to fraction form
    604,889.57/834,649.92 = 346,719/x
  3. Step 3: Cross multiply
    604,889.57x = 834,649.92 × 346,719
  4. Step 4: Simplify right side
    604,889.57x = 289,388,985,612.48
  5. Step 5: Solve for x
    x = 289,388,985,612.48/604,889.57
  6. Step 6: Final answer
    x = 478,416.23

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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.