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Finding the Fourth Proportional to 527,029.19, 727,300.53 and 285,311.77

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Solution

The fourth proportional to 527,029.19, 727,300.53 and 285,311.77 is: 393,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,029.19 : 727,300.53 = 285,311.77 : x
  2. Step 2: Convert to fraction form
    527,029.19/727,300.53 = 285,311.77/x
  3. Step 3: Cross multiply
    527,029.19x = 727,300.53 × 285,311.77
  4. Step 4: Simplify right side
    527,029.19x = 207,507,401,536.24
  5. Step 5: Solve for x
    x = 207,507,401,536.24/527,029.19
  6. Step 6: Final answer
    x = 393,730.38

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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.