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Finding the Fourth Proportional to 307,823.98, 461,807.10 and 97,461.92

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Solution

The fourth proportional to 307,823.98, 461,807.10 and 97,461.92 is: 146,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,823.98 : 461,807.10 = 97,461.92 : x
  2. Step 2: Convert to fraction form
    307,823.98/461,807.10 = 97,461.92/x
  3. Step 3: Cross multiply
    307,823.98x = 461,807.10 × 97,461.92
  4. Step 4: Simplify right side
    307,823.98x = 45,008,606,635.63
  5. Step 5: Solve for x
    x = 45,008,606,635.63/307,823.98
  6. Step 6: Final answer
    x = 146,215.40

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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.