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Finding the Fourth Proportional to 473,465.59, 653,378.20 and 258,605.60

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Solution

The fourth proportional to 473,465.59, 653,378.20 and 258,605.60 is: 356,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,465.59 : 653,378.20 = 258,605.60 : x
  2. Step 2: Convert to fraction form
    473,465.59/653,378.20 = 258,605.60/x
  3. Step 3: Cross multiply
    473,465.59x = 653,378.20 × 258,605.60
  4. Step 4: Simplify right side
    473,465.59x = 168,967,257,524.52
  5. Step 5: Solve for x
    x = 168,967,257,524.52/473,465.59
  6. Step 6: Final answer
    x = 356,873.37

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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.