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Finding the Fourth Proportional to 531,479.64, 797,216.06 and 194,543.76

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Solution

The fourth proportional to 531,479.64, 797,216.06 and 194,543.76 is: 291,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,479.64 : 797,216.06 = 194,543.76 : x
  2. Step 2: Convert to fraction form
    531,479.64/797,216.06 = 194,543.76/x
  3. Step 3: Cross multiply
    531,479.64x = 797,216.06 × 194,543.76
  4. Step 4: Simplify right side
    531,479.64x = 155,093,409,844.79
  5. Step 5: Solve for x
    x = 155,093,409,844.79/531,479.64
  6. Step 6: Final answer
    x = 291,814.40

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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.