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Finding the Fourth Proportional to 538,094.10, 742,574.88 and 296,377.56

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Solution

The fourth proportional to 538,094.10, 742,574.88 and 296,377.56 is: 409,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,094.10 : 742,574.88 = 296,377.56 : x
  2. Step 2: Convert to fraction form
    538,094.10/742,574.88 = 296,377.56/x
  3. Step 3: Cross multiply
    538,094.10x = 742,574.88 × 296,377.56
  4. Step 4: Simplify right side
    538,094.10x = 220,082,531,051.69
  5. Step 5: Solve for x
    x = 220,082,531,051.69/538,094.10
  6. Step 6: Final answer
    x = 409,003.80

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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.