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Finding the Fourth Proportional to 512,364.70, 768,547.05 and 505,366.30

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Solution

The fourth proportional to 512,364.70, 768,547.05 and 505,366.30 is: 758,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,364.70 : 768,547.05 = 505,366.30 : x
  2. Step 2: Convert to fraction form
    512,364.70/768,547.05 = 505,366.30/x
  3. Step 3: Cross multiply
    512,364.70x = 768,547.05 × 505,366.30
  4. Step 4: Simplify right side
    512,364.70x = 388,397,779,034.42
  5. Step 5: Solve for x
    x = 388,397,779,034.42/512,364.70
  6. Step 6: Final answer
    x = 758,049.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.