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Finding the Fourth Proportional to 309,592.74, 464,235.21 and 99,203.34

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Solution

The fourth proportional to 309,592.74, 464,235.21 and 99,203.34 is: 148,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,592.74 : 464,235.21 = 99,203.34 : x
  2. Step 2: Convert to fraction form
    309,592.74/464,235.21 = 99,203.34/x
  3. Step 3: Cross multiply
    309,592.74x = 464,235.21 × 99,203.34
  4. Step 4: Simplify right side
    309,592.74x = 46,053,683,377.60
  5. Step 5: Solve for x
    x = 46,053,683,377.60/309,592.74
  6. Step 6: Final answer
    x = 148,755.70

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1.5x scale

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.