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Finding the Fourth Proportional to 527,957.52, 728,573.76 and 286,235.52

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Solution

The fourth proportional to 527,957.52, 728,573.76 and 286,235.52 is: 395,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,957.52 : 728,573.76 = 286,235.52 : x
  2. Step 2: Convert to fraction form
    527,957.52/728,573.76 = 286,235.52/x
  3. Step 3: Cross multiply
    527,957.52x = 728,573.76 × 286,235.52
  4. Step 4: Simplify right side
    527,957.52x = 208,543,689,051.96
  5. Step 5: Solve for x
    x = 208,543,689,051.96/527,957.52
  6. Step 6: Final answer
    x = 395,000.89

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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.