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Finding the Fourth Proportional to 350,464.77, 525,689.59 and 97,738.51

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Solution

The fourth proportional to 350,464.77, 525,689.59 and 97,738.51 is: 146,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,464.77 : 525,689.59 = 97,738.51 : x
  2. Step 2: Convert to fraction form
    350,464.77/525,689.59 = 97,738.51/x
  3. Step 3: Cross multiply
    350,464.77x = 525,689.59 × 97,738.51
  4. Step 4: Simplify right side
    350,464.77x = 51,380,117,249.11
  5. Step 5: Solve for x
    x = 51,380,117,249.11/350,464.77
  6. Step 6: Final answer
    x = 146,605.66

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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.