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Finding the Fourth Proportional to 597,755.34, 896,458.04 and 492,312.78

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Solution

The fourth proportional to 597,755.34, 896,458.04 and 492,312.78 is: 738,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,755.34 : 896,458.04 = 492,312.78 : x
  2. Step 2: Convert to fraction form
    597,755.34/896,458.04 = 492,312.78/x
  3. Step 3: Cross multiply
    597,755.34x = 896,458.04 × 492,312.78
  4. Step 4: Simplify right side
    597,755.34x = 441,337,749,825.75
  5. Step 5: Solve for x
    x = 441,337,749,825.75/597,755.34
  6. Step 6: Final answer
    x = 738,325.06

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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.