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Finding the Fourth Proportional to 517,722.62, 714,677.67 and 348,055.16

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Solution

The fourth proportional to 517,722.62, 714,677.67 and 348,055.16 is: 480,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,722.62 : 714,677.67 = 348,055.16 : x
  2. Step 2: Convert to fraction form
    517,722.62/714,677.67 = 348,055.16/x
  3. Step 3: Cross multiply
    517,722.62x = 714,677.67 × 348,055.16
  4. Step 4: Simplify right side
    517,722.62x = 248,747,247,206.89
  5. Step 5: Solve for x
    x = 248,747,247,206.89/517,722.62
  6. Step 6: Final answer
    x = 480,464.33

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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.