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Finding the Fourth Proportional to 475,733.52, 712,216.80 and 409,598.64

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Solution

The fourth proportional to 475,733.52, 712,216.80 and 409,598.64 is: 613,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,733.52 : 712,216.80 = 409,598.64 : x
  2. Step 2: Convert to fraction form
    475,733.52/712,216.80 = 409,598.64/x
  3. Step 3: Cross multiply
    475,733.52x = 712,216.80 × 409,598.64
  4. Step 4: Simplify right side
    475,733.52x = 291,723,032,665.15
  5. Step 5: Solve for x
    x = 291,723,032,665.15/475,733.52
  6. Step 6: Final answer
    x = 613,206.81

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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.