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Finding the Fourth Proportional to 735,889, 1,015,527.78 and 417,937

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Solution

The fourth proportional to 735,889, 1,015,527.78 and 417,937 is: 576,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,889 : 1,015,527.78 = 417,937 : x
  2. Step 2: Convert to fraction form
    735,889/1,015,527.78 = 417,937/x
  3. Step 3: Cross multiply
    735,889x = 1,015,527.78 × 417,937
  4. Step 4: Simplify right side
    735,889x = 424,426,633,789.86
  5. Step 5: Solve for x
    x = 424,426,633,789.86/735,889
  6. Step 6: Final answer
    x = 576,753.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.