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Finding the Fourth Proportional to 346,029.40, 519,044.10 and 329,699.80

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Solution

The fourth proportional to 346,029.40, 519,044.10 and 329,699.80 is: 494,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,029.40 : 519,044.10 = 329,699.80 : x
  2. Step 2: Convert to fraction form
    346,029.40/519,044.10 = 329,699.80/x
  3. Step 3: Cross multiply
    346,029.40x = 519,044.10 × 329,699.80
  4. Step 4: Simplify right side
    346,029.40x = 171,128,735,961.18
  5. Step 5: Solve for x
    x = 171,128,735,961.18/346,029.40
  6. Step 6: Final answer
    x = 494,549.70

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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.