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Finding the Fourth Proportional to 524,198.64, 785,145.42 and 433,210.16

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Solution

The fourth proportional to 524,198.64, 785,145.42 and 433,210.16 is: 648,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,198.64 : 785,145.42 = 433,210.16 : x
  2. Step 2: Convert to fraction form
    524,198.64/785,145.42 = 433,210.16/x
  3. Step 3: Cross multiply
    524,198.64x = 785,145.42 × 433,210.16
  4. Step 4: Simplify right side
    524,198.64x = 340,132,973,021.47
  5. Step 5: Solve for x
    x = 340,132,973,021.47/524,198.64
  6. Step 6: Final answer
    x = 648,862.75

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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.