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Finding the Fourth Proportional to 741,537, 1,023,322.32 and 402,005.88

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Solution

The fourth proportional to 741,537, 1,023,322.32 and 402,005.88 is: 554,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,537 : 1,023,322.32 = 402,005.88 : x
  2. Step 2: Convert to fraction form
    741,537/1,023,322.32 = 402,005.88/x
  3. Step 3: Cross multiply
    741,537x = 1,023,322.32 × 402,005.88
  4. Step 4: Simplify right side
    741,537x = 411,381,589,775.24
  5. Step 5: Solve for x
    x = 411,381,589,775.24/741,537
  6. Step 6: Final answer
    x = 554,768.80

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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.