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Finding the Fourth Proportional to 472,347.18, 708,795.16 and 198,773.26

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Solution

The fourth proportional to 472,347.18, 708,795.16 and 198,773.26 is: 298,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,347.18 : 708,795.16 = 198,773.26 : x
  2. Step 2: Convert to fraction form
    472,347.18/708,795.16 = 198,773.26/x
  3. Step 3: Cross multiply
    472,347.18x = 708,795.16 × 198,773.26
  4. Step 4: Simplify right side
    472,347.18x = 140,889,522,356.50
  5. Step 5: Solve for x
    x = 140,889,522,356.50/472,347.18
  6. Step 6: Final answer
    x = 298,275.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.