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Finding the Fourth Proportional to 529,504.48, 730,822.53 and 314,603.25

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Solution

The fourth proportional to 529,504.48, 730,822.53 and 314,603.25 is: 434,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,504.48 : 730,822.53 = 314,603.25 : x
  2. Step 2: Convert to fraction form
    529,504.48/730,822.53 = 314,603.25/x
  3. Step 3: Cross multiply
    529,504.48x = 730,822.53 × 314,603.25
  4. Step 4: Simplify right side
    529,504.48x = 229,919,143,111.22
  5. Step 5: Solve for x
    x = 229,919,143,111.22/529,504.48
  6. Step 6: Final answer
    x = 434,215.67

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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.