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Finding the Fourth Proportional to 538,070.19, 742,521.63 and 293,049.48

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Solution

The fourth proportional to 538,070.19, 742,521.63 and 293,049.48 is: 404,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,070.19 : 742,521.63 = 293,049.48 : x
  2. Step 2: Convert to fraction form
    538,070.19/742,521.63 = 293,049.48/x
  3. Step 3: Cross multiply
    538,070.19x = 742,521.63 × 293,049.48
  4. Step 4: Simplify right side
    538,070.19x = 217,595,572,382.40
  5. Step 5: Solve for x
    x = 217,595,572,382.40/538,070.19
  6. Step 6: Final answer
    x = 404,399.98

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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.