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Finding the Fourth Proportional to 308,528.70, 462,827.07 and 98,117.43

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Solution

The fourth proportional to 308,528.70, 462,827.07 and 98,117.43 is: 147,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,528.70 : 462,827.07 = 98,117.43 : x
  2. Step 2: Convert to fraction form
    308,528.70/462,827.07 = 98,117.43/x
  3. Step 3: Cross multiply
    308,528.70x = 462,827.07 × 98,117.43
  4. Step 4: Simplify right side
    308,528.70x = 45,411,402,642.83
  5. Step 5: Solve for x
    x = 45,411,402,642.83/308,528.70
  6. Step 6: Final answer
    x = 147,186.96

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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.