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Finding the Fourth Proportional to 462,495.70, 693,733.69 and 213,177.70

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Solution

The fourth proportional to 462,495.70, 693,733.69 and 213,177.70 is: 319,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,495.70 : 693,733.69 = 213,177.70 : x
  2. Step 2: Convert to fraction form
    462,495.70/693,733.69 = 213,177.70/x
  3. Step 3: Cross multiply
    462,495.70x = 693,733.69 × 213,177.70
  4. Step 4: Simplify right side
    462,495.70x = 147,888,552,446.71
  5. Step 5: Solve for x
    x = 147,888,552,446.71/462,495.70
  6. Step 6: Final answer
    x = 319,762.01

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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.