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Finding the Fourth Proportional to 614,016.12, 847,329.48 and 342,083.64

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Solution

The fourth proportional to 614,016.12, 847,329.48 and 342,083.64 is: 472,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,016.12 : 847,329.48 = 342,083.64 : x
  2. Step 2: Convert to fraction form
    614,016.12/847,329.48 = 342,083.64/x
  3. Step 3: Cross multiply
    614,016.12x = 847,329.48 × 342,083.64
  4. Step 4: Simplify right side
    614,016.12x = 289,857,552,797.71
  5. Step 5: Solve for x
    x = 289,857,552,797.71/614,016.12
  6. Step 6: Final answer
    x = 472,068.31

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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.