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Finding the Fourth Proportional to 461,832.96, 692,969.60 and 319,896.96

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Solution

The fourth proportional to 461,832.96, 692,969.60 and 319,896.96 is: 479,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,832.96 : 692,969.60 = 319,896.96 : x
  2. Step 2: Convert to fraction form
    461,832.96/692,969.60 = 319,896.96/x
  3. Step 3: Cross multiply
    461,832.96x = 692,969.60 × 319,896.96
  4. Step 4: Simplify right side
    461,832.96x = 221,678,868,412.42
  5. Step 5: Solve for x
    x = 221,678,868,412.42/461,832.96
  6. Step 6: Final answer
    x = 479,997.94

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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.