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Finding the Fourth Proportional to 452,024.59, 678,140.43 and 195,900.18

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Solution

The fourth proportional to 452,024.59, 678,140.43 and 195,900.18 is: 293,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,024.59 : 678,140.43 = 195,900.18 : x
  2. Step 2: Convert to fraction form
    452,024.59/678,140.43 = 195,900.18/x
  3. Step 3: Cross multiply
    452,024.59x = 678,140.43 × 195,900.18
  4. Step 4: Simplify right side
    452,024.59x = 132,847,828,486.39
  5. Step 5: Solve for x
    x = 132,847,828,486.39/452,024.59
  6. Step 6: Final answer
    x = 293,895.14

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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.