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Finding the Fourth Proportional to 463,563.68, 691,870.24 and 433,296.48

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Solution

The fourth proportional to 463,563.68, 691,870.24 and 433,296.48 is: 646,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,563.68 : 691,870.24 = 433,296.48 : x
  2. Step 2: Convert to fraction form
    463,563.68/691,870.24 = 433,296.48/x
  3. Step 3: Cross multiply
    463,563.68x = 691,870.24 × 433,296.48
  4. Step 4: Simplify right side
    463,563.68x = 299,784,939,608.76
  5. Step 5: Solve for x
    x = 299,784,939,608.76/463,563.68
  6. Step 6: Final answer
    x = 646,696.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.