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Finding the Fourth Proportional to 310,093.07, 464,461.46 and 219,862.28

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Solution

The fourth proportional to 310,093.07, 464,461.46 and 219,862.28 is: 329,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,093.07 : 464,461.46 = 219,862.28 : x
  2. Step 2: Convert to fraction form
    310,093.07/464,461.46 = 219,862.28/x
  3. Step 3: Cross multiply
    310,093.07x = 464,461.46 × 219,862.28
  4. Step 4: Simplify right side
    310,093.07x = 102,117,555,567.73
  5. Step 5: Solve for x
    x = 102,117,555,567.73/310,093.07
  6. Step 6: Final answer
    x = 329,312.60

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1.5x scale

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.