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Finding the Fourth Proportional to 524,197.64, 785,143.92 and 433,209.16

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Solution

The fourth proportional to 524,197.64, 785,143.92 and 433,209.16 is: 648,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,197.64 : 785,143.92 = 433,209.16 : x
  2. Step 2: Convert to fraction form
    524,197.64/785,143.92 = 433,209.16/x
  3. Step 3: Cross multiply
    524,197.64x = 785,143.92 × 433,209.16
  4. Step 4: Simplify right side
    524,197.64x = 340,131,538,062.31
  5. Step 5: Solve for x
    x = 340,131,538,062.31/524,197.64
  6. Step 6: Final answer
    x = 648,861.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.