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Finding the Fourth Proportional to 462,597.24, 693,385.74 and 302,606.76

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Solution

The fourth proportional to 462,597.24, 693,385.74 and 302,606.76 is: 453,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,597.24 : 693,385.74 = 302,606.76 : x
  2. Step 2: Convert to fraction form
    462,597.24/693,385.74 = 302,606.76/x
  3. Step 3: Cross multiply
    462,597.24x = 693,385.74 × 302,606.76
  4. Step 4: Simplify right side
    462,597.24x = 209,823,212,211.60
  5. Step 5: Solve for x
    x = 209,823,212,211.60/462,597.24
  6. Step 6: Final answer
    x = 453,576.45

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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.