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Finding the Fourth Proportional to 462,573.54, 638,458.17 and 301,147.50

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Solution

The fourth proportional to 462,573.54, 638,458.17 and 301,147.50 is: 415,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,573.54 : 638,458.17 = 301,147.50 : x
  2. Step 2: Convert to fraction form
    462,573.54/638,458.17 = 301,147.50/x
  3. Step 3: Cross multiply
    462,573.54x = 638,458.17 × 301,147.50
  4. Step 4: Simplify right side
    462,573.54x = 192,270,081,750.08
  5. Step 5: Solve for x
    x = 192,270,081,750.08/462,573.54
  6. Step 6: Final answer
    x = 415,653.00

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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.