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Finding the Fourth Proportional to 517,723.74, 714,679.20 and 348,056.28

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Solution

The fourth proportional to 517,723.74, 714,679.20 and 348,056.28 is: 480,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,723.74 : 714,679.20 = 348,056.28 : x
  2. Step 2: Convert to fraction form
    517,723.74/714,679.20 = 348,056.28/x
  3. Step 3: Cross multiply
    517,723.74x = 714,679.20 × 348,056.28
  4. Step 4: Simplify right side
    517,723.74x = 248,748,583,745.38
  5. Step 5: Solve for x
    x = 248,748,583,745.38/517,723.74
  6. Step 6: Final answer
    x = 480,465.86

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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.