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Finding the Fourth Proportional to 341,385.80, 512,078.70 and 322,032.20

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Solution

The fourth proportional to 341,385.80, 512,078.70 and 322,032.20 is: 483,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,385.80 : 512,078.70 = 322,032.20 : x
  2. Step 2: Convert to fraction form
    341,385.80/512,078.70 = 322,032.20/x
  3. Step 3: Cross multiply
    341,385.80x = 512,078.70 × 322,032.20
  4. Step 4: Simplify right side
    341,385.80x = 164,905,830,334.14
  5. Step 5: Solve for x
    x = 164,905,830,334.14/341,385.80
  6. Step 6: Final answer
    x = 483,048.30

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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.