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Finding the Fourth Proportional to 563,537.40, 777,761.36 and 348,746.64

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Solution

The fourth proportional to 563,537.40, 777,761.36 and 348,746.64 is: 481,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,537.40 : 777,761.36 = 348,746.64 : x
  2. Step 2: Convert to fraction form
    563,537.40/777,761.36 = 348,746.64/x
  3. Step 3: Cross multiply
    563,537.40x = 777,761.36 × 348,746.64
  4. Step 4: Simplify right side
    563,537.40x = 271,241,661,021.83
  5. Step 5: Solve for x
    x = 271,241,661,021.83/563,537.40
  6. Step 6: Final answer
    x = 481,319.72

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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.