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Finding the Fourth Proportional to 527,898.79, 728,782.98 and 412,933.17

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Solution

The fourth proportional to 527,898.79, 728,782.98 and 412,933.17 is: 570,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,898.79 : 728,782.98 = 412,933.17 : x
  2. Step 2: Convert to fraction form
    527,898.79/728,782.98 = 412,933.17/x
  3. Step 3: Cross multiply
    527,898.79x = 728,782.98 × 412,933.17
  4. Step 4: Simplify right side
    527,898.79x = 300,938,666,173.45
  5. Step 5: Solve for x
    x = 300,938,666,173.45/527,898.79
  6. Step 6: Final answer
    x = 570,068.87

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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.