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Finding the Fourth Proportional to 616,697.76, 851,048.76 and 362,053.20

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Solution

The fourth proportional to 616,697.76, 851,048.76 and 362,053.20 is: 499,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,697.76 : 851,048.76 = 362,053.20 : x
  2. Step 2: Convert to fraction form
    616,697.76/851,048.76 = 362,053.20/x
  3. Step 3: Cross multiply
    616,697.76x = 851,048.76 × 362,053.20
  4. Step 4: Simplify right side
    616,697.76x = 308,124,926,914.03
  5. Step 5: Solve for x
    x = 308,124,926,914.03/616,697.76
  6. Step 6: Final answer
    x = 499,636.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.