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Finding the Fourth Proportional to 522,023.10, 783,034.65 and 462,536.70

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Solution

The fourth proportional to 522,023.10, 783,034.65 and 462,536.70 is: 693,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,023.10 : 783,034.65 = 462,536.70 : x
  2. Step 2: Convert to fraction form
    522,023.10/783,034.65 = 462,536.70/x
  3. Step 3: Cross multiply
    522,023.10x = 783,034.65 × 462,536.70
  4. Step 4: Simplify right side
    522,023.10x = 362,182,262,996.66
  5. Step 5: Solve for x
    x = 362,182,262,996.66/522,023.10
  6. Step 6: Final answer
    x = 693,805.05

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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.