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Finding the Fourth Proportional to 589,150.13, 813,032.64 and 334,506.78

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Solution

The fourth proportional to 589,150.13, 813,032.64 and 334,506.78 is: 461,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,150.13 : 813,032.64 = 334,506.78 : x
  2. Step 2: Convert to fraction form
    589,150.13/813,032.64 = 334,506.78/x
  3. Step 3: Cross multiply
    589,150.13x = 813,032.64 × 334,506.78
  4. Step 4: Simplify right side
    589,150.13x = 271,964,930,441.30
  5. Step 5: Solve for x
    x = 271,964,930,441.30/589,150.13
  6. Step 6: Final answer
    x = 461,622.46

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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.