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Finding the Fourth Proportional to 310,025.58, 465,082.11 and 99,592.98

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Solution

The fourth proportional to 310,025.58, 465,082.11 and 99,592.98 is: 149,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,025.58 : 465,082.11 = 99,592.98 : x
  2. Step 2: Convert to fraction form
    310,025.58/465,082.11 = 99,592.98/x
  3. Step 3: Cross multiply
    310,025.58x = 465,082.11 × 99,592.98
  4. Step 4: Simplify right side
    310,025.58x = 46,318,913,279.59
  5. Step 5: Solve for x
    x = 46,318,913,279.59/310,025.58
  6. Step 6: Final answer
    x = 149,403.52

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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.