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Finding the Fourth Proportional to 527,838.37, 728,411.94 and 295,262.77

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Solution

The fourth proportional to 527,838.37, 728,411.94 and 295,262.77 is: 407,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,838.37 : 728,411.94 = 295,262.77 : x
  2. Step 2: Convert to fraction form
    527,838.37/728,411.94 = 295,262.77/x
  3. Step 3: Cross multiply
    527,838.37x = 728,411.94 × 295,262.77
  4. Step 4: Simplify right side
    527,838.37x = 215,072,926,650.22
  5. Step 5: Solve for x
    x = 215,072,926,650.22/527,838.37
  6. Step 6: Final answer
    x = 407,459.82

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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.