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Finding the Fourth Proportional to 772,542, 1,157,461.74 and 536,034.96

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Solution

The fourth proportional to 772,542, 1,157,461.74 and 536,034.96 is: 803,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,542 : 1,157,461.74 = 536,034.96 : x
  2. Step 2: Convert to fraction form
    772,542/1,157,461.74 = 536,034.96/x
  3. Step 3: Cross multiply
    772,542x = 1,157,461.74 × 536,034.96
  4. Step 4: Simplify right side
    772,542x = 620,439,957,502.43
  5. Step 5: Solve for x
    x = 620,439,957,502.43/772,542
  6. Step 6: Final answer
    x = 803,114.86

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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.