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Finding the Fourth Proportional to 473,189.85, 653,011.88 and 258,338.97

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Solution

The fourth proportional to 473,189.85, 653,011.88 and 258,338.97 is: 356,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,189.85 : 653,011.88 = 258,338.97 : x
  2. Step 2: Convert to fraction form
    473,189.85/653,011.88 = 258,338.97/x
  3. Step 3: Cross multiply
    473,189.85x = 653,011.88 × 258,338.97
  4. Step 4: Simplify right side
    473,189.85x = 168,698,415,185.27
  5. Step 5: Solve for x
    x = 168,698,415,185.27/473,189.85
  6. Step 6: Final answer
    x = 356,513.17

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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.