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Finding the Fourth Proportional to 473,004.26, 653,456.74 and 310,047.56

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Solution

The fourth proportional to 473,004.26, 653,456.74 and 310,047.56 is: 428,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,004.26 : 653,456.74 = 310,047.56 : x
  2. Step 2: Convert to fraction form
    473,004.26/653,456.74 = 310,047.56/x
  3. Step 3: Cross multiply
    473,004.26x = 653,456.74 × 310,047.56
  4. Step 4: Simplify right side
    473,004.26x = 202,602,667,802.55
  5. Step 5: Solve for x
    x = 202,602,667,802.55/473,004.26
  6. Step 6: Final answer
    x = 428,331.59

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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.