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Finding the Fourth Proportional to 589,596.20, 813,676.16 and 446,107.13

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Solution

The fourth proportional to 589,596.20, 813,676.16 and 446,107.13 is: 615,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,596.20 : 813,676.16 = 446,107.13 : x
  2. Step 2: Convert to fraction form
    589,596.20/813,676.16 = 446,107.13/x
  3. Step 3: Cross multiply
    589,596.20x = 813,676.16 × 446,107.13
  4. Step 4: Simplify right side
    589,596.20x = 362,986,734,256.49
  5. Step 5: Solve for x
    x = 362,986,734,256.49/589,596.20
  6. Step 6: Final answer
    x = 615,653.11

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Double scale
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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.