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Finding the Fourth Proportional to 523,538, 722,403.74 and 294,051.32

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Solution

The fourth proportional to 523,538, 722,403.74 and 294,051.32 is: 405,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,538 : 722,403.74 = 294,051.32 : x
  2. Step 2: Convert to fraction form
    523,538/722,403.74 = 294,051.32/x
  3. Step 3: Cross multiply
    523,538x = 722,403.74 × 294,051.32
  4. Step 4: Simplify right side
    523,538x = 212,423,773,319.94
  5. Step 5: Solve for x
    x = 212,423,773,319.94/523,538
  6. Step 6: Final answer
    x = 405,746.62

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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.