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Finding the Fourth Proportional to 538,152.82, 742,647.40 and 296,429.78

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Solution

The fourth proportional to 538,152.82, 742,647.40 and 296,429.78 is: 409,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,152.82 : 742,647.40 = 296,429.78 : x
  2. Step 2: Convert to fraction form
    538,152.82/742,647.40 = 296,429.78/x
  3. Step 3: Cross multiply
    538,152.82x = 742,647.40 × 296,429.78
  4. Step 4: Simplify right side
    538,152.82x = 220,142,805,399.57
  5. Step 5: Solve for x
    x = 220,142,805,399.57/538,152.82
  6. Step 6: Final answer
    x = 409,071.17

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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.