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Finding the Fourth Proportional to 310,088.53, 464,454.65 and 219,857.74

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Solution

The fourth proportional to 310,088.53, 464,454.65 and 219,857.74 is: 329,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,088.53 : 464,454.65 = 219,857.74 : x
  2. Step 2: Convert to fraction form
    310,088.53/464,454.65 = 219,857.74/x
  3. Step 3: Cross multiply
    310,088.53x = 464,454.65 × 219,857.74
  4. Step 4: Simplify right side
    310,088.53x = 102,113,949,070.00
  5. Step 5: Solve for x
    x = 102,113,949,070.00/310,088.53
  6. Step 6: Final answer
    x = 329,305.79

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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.