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Finding the Fourth Proportional to 529,499.52, 730,714.14 and 287,782.67

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Solution

The fourth proportional to 529,499.52, 730,714.14 and 287,782.67 is: 397,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,499.52 : 730,714.14 = 287,782.67 : x
  2. Step 2: Convert to fraction form
    529,499.52/730,714.14 = 287,782.67/x
  3. Step 3: Cross multiply
    529,499.52x = 730,714.14 × 287,782.67
  4. Step 4: Simplify right side
    529,499.52x = 210,286,868,042.74
  5. Step 5: Solve for x
    x = 210,286,868,042.74/529,499.52
  6. Step 6: Final answer
    x = 397,142.70

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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.