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Finding the Fourth Proportional to 403,219.80, 604,829.70 and 277,248.60

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Solution

The fourth proportional to 403,219.80, 604,829.70 and 277,248.60 is: 415,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,219.80 : 604,829.70 = 277,248.60 : x
  2. Step 2: Convert to fraction form
    403,219.80/604,829.70 = 277,248.60/x
  3. Step 3: Cross multiply
    403,219.80x = 604,829.70 × 277,248.60
  4. Step 4: Simplify right side
    403,219.80x = 167,688,187,563.42
  5. Step 5: Solve for x
    x = 167,688,187,563.42/403,219.80
  6. Step 6: Final answer
    x = 415,872.90

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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.