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Finding the Fourth Proportional to 576,005.10, 864,266.85 and 202,296.30

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Solution

The fourth proportional to 576,005.10, 864,266.85 and 202,296.30 is: 303,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,005.10 : 864,266.85 = 202,296.30 : x
  2. Step 2: Convert to fraction form
    576,005.10/864,266.85 = 202,296.30/x
  3. Step 3: Cross multiply
    576,005.10x = 864,266.85 × 202,296.30
  4. Step 4: Simplify right side
    576,005.10x = 174,837,985,967.66
  5. Step 5: Solve for x
    x = 174,837,985,967.66/576,005.10
  6. Step 6: Final answer
    x = 303,535.48

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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.