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Finding the Fourth Proportional to 473,806.55, 653,853.11 and 258,946.56

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Solution

The fourth proportional to 473,806.55, 653,853.11 and 258,946.56 is: 357,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,806.55 : 653,853.11 = 258,946.56 : x
  2. Step 2: Convert to fraction form
    473,806.55/653,853.11 = 258,946.56/x
  3. Step 3: Cross multiply
    473,806.55x = 653,853.11 × 258,946.56
  4. Step 4: Simplify right side
    473,806.55x = 169,313,012,285.07
  5. Step 5: Solve for x
    x = 169,313,012,285.07/473,806.55
  6. Step 6: Final answer
    x = 357,346.29

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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.