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Finding the Fourth Proportional to 468,465.94, 646,244.40 and 284,654.98

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Solution

The fourth proportional to 468,465.94, 646,244.40 and 284,654.98 is: 392,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,465.94 : 646,244.40 = 284,654.98 : x
  2. Step 2: Convert to fraction form
    468,465.94/646,244.40 = 284,654.98/x
  3. Step 3: Cross multiply
    468,465.94x = 646,244.40 × 284,654.98
  4. Step 4: Simplify right side
    468,465.94x = 183,956,686,757.11
  5. Step 5: Solve for x
    x = 183,956,686,757.11/468,465.94
  6. Step 6: Final answer
    x = 392,678.89

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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.