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Finding the Fourth Proportional to 334,705.44, 460,522.86 and 289,237.68

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Solution

The fourth proportional to 334,705.44, 460,522.86 and 289,237.68 is: 397,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,705.44 : 460,522.86 = 289,237.68 : x
  2. Step 2: Convert to fraction form
    334,705.44/460,522.86 = 289,237.68/x
  3. Step 3: Cross multiply
    334,705.44x = 460,522.86 × 289,237.68
  4. Step 4: Simplify right side
    334,705.44x = 133,200,563,613.37
  5. Step 5: Solve for x
    x = 133,200,563,613.37/334,705.44
  6. Step 6: Final answer
    x = 397,963.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.