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Finding the Fourth Proportional to 527,852.23, 727,965.73 and 411,594.50

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Solution

The fourth proportional to 527,852.23, 727,965.73 and 411,594.50 is: 567,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,852.23 : 727,965.73 = 411,594.50 : x
  2. Step 2: Convert to fraction form
    527,852.23/727,965.73 = 411,594.50/x
  3. Step 3: Cross multiply
    527,852.23x = 727,965.73 × 411,594.50
  4. Step 4: Simplify right side
    527,852.23x = 299,626,690,656.49
  5. Step 5: Solve for x
    x = 299,626,690,656.49/527,852.23
  6. Step 6: Final answer
    x = 567,633.66

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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.