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Finding the Fourth Proportional to 517,739.76, 714,701.28 and 348,072.28

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Solution

The fourth proportional to 517,739.76, 714,701.28 and 348,072.28 is: 480,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,739.76 : 714,701.28 = 348,072.28 : x
  2. Step 2: Convert to fraction form
    517,739.76/714,701.28 = 348,072.28/x
  3. Step 3: Cross multiply
    517,739.76x = 714,701.28 × 348,072.28
  4. Step 4: Simplify right side
    517,739.76x = 248,767,704,048.52
  5. Step 5: Solve for x
    x = 248,767,704,048.52/517,739.76
  6. Step 6: Final answer
    x = 480,487.93

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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.