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Finding the Fourth Proportional to 527,223.80, 727,569.24 and 285,506.64

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Solution

The fourth proportional to 527,223.80, 727,569.24 and 285,506.64 is: 393,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,223.80 : 727,569.24 = 285,506.64 : x
  2. Step 2: Convert to fraction form
    527,223.80/727,569.24 = 285,506.64/x
  3. Step 3: Cross multiply
    527,223.80x = 727,569.24 × 285,506.64
  4. Step 4: Simplify right side
    527,223.80x = 207,725,848,009.10
  5. Step 5: Solve for x
    x = 207,725,848,009.10/527,223.80
  6. Step 6: Final answer
    x = 393,999.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.