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Finding the Fourth Proportional to 589,171.64, 813,062.34 and 334,528.28

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Solution

The fourth proportional to 589,171.64, 813,062.34 and 334,528.28 is: 461,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,171.64 : 813,062.34 = 334,528.28 : x
  2. Step 2: Convert to fraction form
    589,171.64/813,062.34 = 334,528.28/x
  3. Step 3: Cross multiply
    589,171.64x = 813,062.34 × 334,528.28
  4. Step 4: Simplify right side
    589,171.64x = 271,992,346,132.98
  5. Step 5: Solve for x
    x = 271,992,346,132.98/589,171.64
  6. Step 6: Final answer
    x = 461,652.14

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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.