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Finding the Fourth Proportional to 511,232.24, 705,503.28 and 296,499.64

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Solution

The fourth proportional to 511,232.24, 705,503.28 and 296,499.64 is: 409,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,232.24 : 705,503.28 = 296,499.64 : x
  2. Step 2: Convert to fraction form
    511,232.24/705,503.28 = 296,499.64/x
  3. Step 3: Cross multiply
    511,232.24x = 705,503.28 × 296,499.64
  4. Step 4: Simplify right side
    511,232.24x = 209,181,468,538.82
  5. Step 5: Solve for x
    x = 209,181,468,538.82/511,232.24
  6. Step 6: Final answer
    x = 409,171.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.