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Finding the Fourth Proportional to 468,808.49, 646,824.46 and 294,397.50

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Solution

The fourth proportional to 468,808.49, 646,824.46 and 294,397.50 is: 406,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,808.49 : 646,824.46 = 294,397.50 : x
  2. Step 2: Convert to fraction form
    468,808.49/646,824.46 = 294,397.50/x
  3. Step 3: Cross multiply
    468,808.49x = 646,824.46 × 294,397.50
  4. Step 4: Simplify right side
    468,808.49x = 190,423,503,962.85
  5. Step 5: Solve for x
    x = 190,423,503,962.85/468,808.49
  6. Step 6: Final answer
    x = 406,186.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.