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Finding the Fourth Proportional to 845,346, 1,166,696.82 and 523,159.86

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Solution

The fourth proportional to 845,346, 1,166,696.82 and 523,159.86 is: 722,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,346 : 1,166,696.82 = 523,159.86 : x
  2. Step 2: Convert to fraction form
    845,346/1,166,696.82 = 523,159.86/x
  3. Step 3: Cross multiply
    845,346x = 1,166,696.82 × 523,159.86
  4. Step 4: Simplify right side
    845,346x = 610,368,945,013.65
  5. Step 5: Solve for x
    x = 610,368,945,013.65/845,346
  6. Step 6: Final answer
    x = 722,034.46

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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.