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Finding the Fourth Proportional to 529,253.16, 730,208.48 and 299,774

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Solution

The fourth proportional to 529,253.16, 730,208.48 and 299,774 is: 413,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,253.16 : 730,208.48 = 299,774 : x
  2. Step 2: Convert to fraction form
    529,253.16/730,208.48 = 299,774/x
  3. Step 3: Cross multiply
    529,253.16x = 730,208.48 × 299,774
  4. Step 4: Simplify right side
    529,253.16x = 218,897,516,883.52
  5. Step 5: Solve for x
    x = 218,897,516,883.52/529,253.16
  6. Step 6: Final answer
    x = 413,597.00

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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.