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Finding the Fourth Proportional to 516,810.80, 773,029.20 and 463,885.40

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Solution

The fourth proportional to 516,810.80, 773,029.20 and 463,885.40 is: 693,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,810.80 : 773,029.20 = 463,885.40 : x
  2. Step 2: Convert to fraction form
    516,810.80/773,029.20 = 463,885.40/x
  3. Step 3: Cross multiply
    516,810.80x = 773,029.20 × 463,885.40
  4. Step 4: Simplify right side
    516,810.80x = 358,596,959,653.68
  5. Step 5: Solve for x
    x = 358,596,959,653.68/516,810.80
  6. Step 6: Final answer
    x = 693,865.07

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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.