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Finding the Fourth Proportional to 462,251.48, 692,131.24 and 301,930.41

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Solution

The fourth proportional to 462,251.48, 692,131.24 and 301,930.41 is: 452,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,251.48 : 692,131.24 = 301,930.41 : x
  2. Step 2: Convert to fraction form
    462,251.48/692,131.24 = 301,930.41/x
  3. Step 3: Cross multiply
    462,251.48x = 692,131.24 × 301,930.41
  4. Step 4: Simplify right side
    462,251.48x = 208,975,470,875.71
  5. Step 5: Solve for x
    x = 208,975,470,875.71/462,251.48
  6. Step 6: Final answer
    x = 452,081.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.