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Finding the Fourth Proportional to 589,055, 883,582.50 and 145,823

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Solution

The fourth proportional to 589,055, 883,582.50 and 145,823 is: 218,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,055 : 883,582.50 = 145,823 : x
  2. Step 2: Convert to fraction form
    589,055/883,582.50 = 145,823/x
  3. Step 3: Cross multiply
    589,055x = 883,582.50 × 145,823
  4. Step 4: Simplify right side
    589,055x = 128,846,650,897.50
  5. Step 5: Solve for x
    x = 128,846,650,897.50/589,055
  6. Step 6: Final answer
    x = 218,734.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.