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Finding the Fourth Proportional to 497,485.46, 746,448.03 and 260,771.54

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Solution

The fourth proportional to 497,485.46, 746,448.03 and 260,771.54 is: 391,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,485.46 : 746,448.03 = 260,771.54 : x
  2. Step 2: Convert to fraction form
    497,485.46/746,448.03 = 260,771.54/x
  3. Step 3: Cross multiply
    497,485.46x = 746,448.03 × 260,771.54
  4. Step 4: Simplify right side
    497,485.46x = 194,652,402,313.07
  5. Step 5: Solve for x
    x = 194,652,402,313.07/497,485.46
  6. Step 6: Final answer
    x = 391,272.55

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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.