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Finding the Fourth Proportional to 532,912.65, 799,368.98 and 384,196.65

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Solution

The fourth proportional to 532,912.65, 799,368.98 and 384,196.65 is: 576,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,912.65 : 799,368.98 = 384,196.65 : x
  2. Step 2: Convert to fraction form
    532,912.65/799,368.98 = 384,196.65/x
  3. Step 3: Cross multiply
    532,912.65x = 799,368.98 × 384,196.65
  4. Step 4: Simplify right side
    532,912.65x = 307,114,882,308.93
  5. Step 5: Solve for x
    x = 307,114,882,308.93/532,912.65
  6. Step 6: Final answer
    x = 576,294.98

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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.