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Finding the Fourth Proportional to 552,806.81, 829,214.85 and 153,478.72

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Solution

The fourth proportional to 552,806.81, 829,214.85 and 153,478.72 is: 230,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,806.81 : 829,214.85 = 153,478.72 : x
  2. Step 2: Convert to fraction form
    552,806.81/829,214.85 = 153,478.72/x
  3. Step 3: Cross multiply
    552,806.81x = 829,214.85 × 153,478.72
  4. Step 4: Simplify right side
    552,806.81x = 127,266,833,782.99
  5. Step 5: Solve for x
    x = 127,266,833,782.99/552,806.81
  6. Step 6: Final answer
    x = 230,219.37

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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.