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Finding the Fourth Proportional to 473,698.85, 653,750.12 and 258,871.46

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Solution

The fourth proportional to 473,698.85, 653,750.12 and 258,871.46 is: 357,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,698.85 : 653,750.12 = 258,871.46 : x
  2. Step 2: Convert to fraction form
    473,698.85/653,750.12 = 258,871.46/x
  3. Step 3: Cross multiply
    473,698.85x = 653,750.12 × 258,871.46
  4. Step 4: Simplify right side
    473,698.85x = 169,237,245,418.00
  5. Step 5: Solve for x
    x = 169,237,245,418.00/473,698.85
  6. Step 6: Final answer
    x = 357,267.59

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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.