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Finding the Fourth Proportional to 553,056.46, 829,587.32 and 193,225.80

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Solution

The fourth proportional to 553,056.46, 829,587.32 and 193,225.80 is: 289,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,056.46 : 829,587.32 = 193,225.80 : x
  2. Step 2: Convert to fraction form
    553,056.46/829,587.32 = 193,225.80/x
  3. Step 3: Cross multiply
    553,056.46x = 829,587.32 × 193,225.80
  4. Step 4: Simplify right side
    553,056.46x = 160,297,676,446.28
  5. Step 5: Solve for x
    x = 160,297,676,446.28/553,056.46
  6. Step 6: Final answer
    x = 289,839.63

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Why These Related Problems?

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