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Finding the Fourth Proportional to 310,880.32, 466,228.96 and 121,298.24

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Solution

The fourth proportional to 310,880.32, 466,228.96 and 121,298.24 is: 181,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,880.32 : 466,228.96 = 121,298.24 : x
  2. Step 2: Convert to fraction form
    310,880.32/466,228.96 = 121,298.24/x
  3. Step 3: Cross multiply
    310,880.32x = 466,228.96 × 121,298.24
  4. Step 4: Simplify right side
    310,880.32x = 56,552,752,285.03
  5. Step 5: Solve for x
    x = 56,552,752,285.03/310,880.32
  6. Step 6: Final answer
    x = 181,911.65

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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.