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Finding the Fourth Proportional to 517,796.10, 714,484.26 and 302,895.54

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Solution

The fourth proportional to 517,796.10, 714,484.26 and 302,895.54 is: 417,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,796.10 : 714,484.26 = 302,895.54 : x
  2. Step 2: Convert to fraction form
    517,796.10/714,484.26 = 302,895.54/x
  3. Step 3: Cross multiply
    517,796.10x = 714,484.26 × 302,895.54
  4. Step 4: Simplify right side
    517,796.10x = 216,414,095,754.20
  5. Step 5: Solve for x
    x = 216,414,095,754.20/517,796.10
  6. Step 6: Final answer
    x = 417,952.35

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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.