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Finding the Fourth Proportional to 473,930.66, 654,024.36 and 259,071.60

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Solution

The fourth proportional to 473,930.66, 654,024.36 and 259,071.60 is: 357,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,930.66 : 654,024.36 = 259,071.60 : x
  2. Step 2: Convert to fraction form
    473,930.66/654,024.36 = 259,071.60/x
  3. Step 3: Cross multiply
    473,930.66x = 654,024.36 × 259,071.60
  4. Step 4: Simplify right side
    473,930.66x = 169,439,137,384.18
  5. Step 5: Solve for x
    x = 169,439,137,384.18/473,930.66
  6. Step 6: Final answer
    x = 357,518.83

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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.