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Finding the Fourth Proportional to 310,903.80, 466,355.70 and 205,841.40

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Solution

The fourth proportional to 310,903.80, 466,355.70 and 205,841.40 is: 308,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903.80 : 466,355.70 = 205,841.40 : x
  2. Step 2: Convert to fraction form
    310,903.80/466,355.70 = 205,841.40/x
  3. Step 3: Cross multiply
    310,903.80x = 466,355.70 × 205,841.40
  4. Step 4: Simplify right side
    310,903.80x = 95,995,310,185.98
  5. Step 5: Solve for x
    x = 95,995,310,185.98/310,903.80
  6. Step 6: Final answer
    x = 308,762.10

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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.