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Finding the Fourth Proportional to 462,732.51, 692,846.51 and 302,408.94

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Solution

The fourth proportional to 462,732.51, 692,846.51 and 302,408.94 is: 452,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,732.51 : 692,846.51 = 302,408.94 : x
  2. Step 2: Convert to fraction form
    462,732.51/692,846.51 = 302,408.94/x
  3. Step 3: Cross multiply
    462,732.51x = 692,846.51 × 302,408.94
  4. Step 4: Simplify right side
    462,732.51x = 209,522,977,159.76
  5. Step 5: Solve for x
    x = 209,522,977,159.76/462,732.51
  6. Step 6: Final answer
    x = 452,795.02

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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.