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Finding the Fourth Proportional to 305,689.80, 458,534.70 and 193,715.40

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Solution

The fourth proportional to 305,689.80, 458,534.70 and 193,715.40 is: 290,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,689.80 : 458,534.70 = 193,715.40 : x
  2. Step 2: Convert to fraction form
    305,689.80/458,534.70 = 193,715.40/x
  3. Step 3: Cross multiply
    305,689.80x = 458,534.70 × 193,715.40
  4. Step 4: Simplify right side
    305,689.80x = 88,825,232,824.38
  5. Step 5: Solve for x
    x = 88,825,232,824.38/305,689.80
  6. Step 6: Final answer
    x = 290,573.10

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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.