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Finding the Fourth Proportional to 529,506.48, 730,825.29 and 314,605.25

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Solution

The fourth proportional to 529,506.48, 730,825.29 and 314,605.25 is: 434,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,506.48 : 730,825.29 = 314,605.25 : x
  2. Step 2: Convert to fraction form
    529,506.48/730,825.29 = 314,605.25/x
  3. Step 3: Cross multiply
    529,506.48x = 730,825.29 × 314,605.25
  4. Step 4: Simplify right side
    529,506.48x = 229,921,473,066.77
  5. Step 5: Solve for x
    x = 229,921,473,066.77/529,506.48
  6. Step 6: Final answer
    x = 434,218.43

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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.