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Finding the Fourth Proportional to 307,825.98, 461,810.10 and 97,463.92

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Solution

The fourth proportional to 307,825.98, 461,810.10 and 97,463.92 is: 146,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,825.98 : 461,810.10 = 97,463.92 : x
  2. Step 2: Convert to fraction form
    307,825.98/461,810.10 = 97,463.92/x
  3. Step 3: Cross multiply
    307,825.98x = 461,810.10 × 97,463.92
  4. Step 4: Simplify right side
    307,825.98x = 45,009,822,641.59
  5. Step 5: Solve for x
    x = 45,009,822,641.59/307,825.98
  6. Step 6: Final answer
    x = 146,218.40

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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.