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Finding the Fourth Proportional to 413,150.40, 619,725.60 and 346,228.20

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Solution

The fourth proportional to 413,150.40, 619,725.60 and 346,228.20 is: 519,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,150.40 : 619,725.60 = 346,228.20 : x
  2. Step 2: Convert to fraction form
    413,150.40/619,725.60 = 346,228.20/x
  3. Step 3: Cross multiply
    413,150.40x = 619,725.60 × 346,228.20
  4. Step 4: Simplify right side
    413,150.40x = 214,566,478,981.92
  5. Step 5: Solve for x
    x = 214,566,478,981.92/413,150.40
  6. Step 6: Final answer
    x = 519,342.30

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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.