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Finding the Fourth Proportional to 863,437, 1,191,543.06 and 505,741

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Solution

The fourth proportional to 863,437, 1,191,543.06 and 505,741 is: 697,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,437 : 1,191,543.06 = 505,741 : x
  2. Step 2: Convert to fraction form
    863,437/1,191,543.06 = 505,741/x
  3. Step 3: Cross multiply
    863,437x = 1,191,543.06 × 505,741
  4. Step 4: Simplify right side
    863,437x = 602,612,178,707.46
  5. Step 5: Solve for x
    x = 602,612,178,707.46/863,437
  6. Step 6: Final answer
    x = 697,922.58

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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.