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Finding the Fourth Proportional to 308,129.40, 462,194.10 and 183,713.40

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Solution

The fourth proportional to 308,129.40, 462,194.10 and 183,713.40 is: 275,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,129.40 : 462,194.10 = 183,713.40 : x
  2. Step 2: Convert to fraction form
    308,129.40/462,194.10 = 183,713.40/x
  3. Step 3: Cross multiply
    308,129.40x = 462,194.10 × 183,713.40
  4. Step 4: Simplify right side
    308,129.40x = 84,911,249,570.94
  5. Step 5: Solve for x
    x = 84,911,249,570.94/308,129.40
  6. Step 6: Final answer
    x = 275,570.10

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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.