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Finding the Fourth Proportional to 334,105.79, 501,117.98 and 97,448.69

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Solution

The fourth proportional to 334,105.79, 501,117.98 and 97,448.69 is: 146,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,105.79 : 501,117.98 = 97,448.69 : x
  2. Step 2: Convert to fraction form
    334,105.79/501,117.98 = 97,448.69/x
  3. Step 3: Cross multiply
    334,105.79x = 501,117.98 × 97,448.69
  4. Step 4: Simplify right side
    334,105.79x = 48,833,291,452.00
  5. Step 5: Solve for x
    x = 48,833,291,452.00/334,105.79
  6. Step 6: Final answer
    x = 146,161.17

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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.