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Finding the Fourth Proportional to 473,433.50, 653,328.12 and 258,574.43

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Solution

The fourth proportional to 473,433.50, 653,328.12 and 258,574.43 is: 356,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,433.50 : 653,328.12 = 258,574.43 : x
  2. Step 2: Convert to fraction form
    473,433.50/653,328.12 = 258,574.43/x
  3. Step 3: Cross multiply
    473,433.50x = 653,328.12 × 258,574.43
  4. Step 4: Simplify right side
    473,433.50x = 168,933,946,231.97
  5. Step 5: Solve for x
    x = 168,933,946,231.97/473,433.50
  6. Step 6: Final answer
    x = 356,827.19

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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.