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Finding the Fourth Proportional to 498,731.62, 688,266.64 and 294,957.22

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Solution

The fourth proportional to 498,731.62, 688,266.64 and 294,957.22 is: 407,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,731.62 : 688,266.64 = 294,957.22 : x
  2. Step 2: Convert to fraction form
    498,731.62/688,266.64 = 294,957.22/x
  3. Step 3: Cross multiply
    498,731.62x = 688,266.64 × 294,957.22
  4. Step 4: Simplify right side
    498,731.62x = 203,009,214,753.14
  5. Step 5: Solve for x
    x = 203,009,214,753.14/498,731.62
  6. Step 6: Final answer
    x = 407,051.02

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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.