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Finding the Fourth Proportional to 473,225.70, 653,048.06 and 258,365.77

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Solution

The fourth proportional to 473,225.70, 653,048.06 and 258,365.77 is: 356,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,225.70 : 653,048.06 = 258,365.77 : x
  2. Step 2: Convert to fraction form
    473,225.70/653,048.06 = 258,365.77/x
  3. Step 3: Cross multiply
    473,225.70x = 653,048.06 × 258,365.77
  4. Step 4: Simplify right side
    473,225.70x = 168,725,261,944.46
  5. Step 5: Solve for x
    x = 168,725,261,944.46/473,225.70
  6. Step 6: Final answer
    x = 356,542.90

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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.