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Finding the Fourth Proportional to 334,410.16, 501,605.52 and 97,758.40

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Solution

The fourth proportional to 334,410.16, 501,605.52 and 97,758.40 is: 146,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,410.16 : 501,605.52 = 97,758.40 : x
  2. Step 2: Convert to fraction form
    334,410.16/501,605.52 = 97,758.40/x
  3. Step 3: Cross multiply
    334,410.16x = 501,605.52 × 97,758.40
  4. Step 4: Simplify right side
    334,410.16x = 49,036,153,066.37
  5. Step 5: Solve for x
    x = 49,036,153,066.37/334,410.16
  6. Step 6: Final answer
    x = 146,634.76

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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.