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Finding the Fourth Proportional to 515,403.42, 711,292.23 and 289,063.50

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Solution

The fourth proportional to 515,403.42, 711,292.23 and 289,063.50 is: 398,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,403.42 : 711,292.23 = 289,063.50 : x
  2. Step 2: Convert to fraction form
    515,403.42/711,292.23 = 289,063.50/x
  3. Step 3: Cross multiply
    515,403.42x = 711,292.23 × 289,063.50
  4. Step 4: Simplify right side
    515,403.42x = 205,608,621,526.61
  5. Step 5: Solve for x
    x = 205,608,621,526.61/515,403.42
  6. Step 6: Final answer
    x = 398,927.55

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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.