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Finding the Fourth Proportional to 307,814.90, 461,765.55 and 97,430.90

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Solution

The fourth proportional to 307,814.90, 461,765.55 and 97,430.90 is: 146,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,814.90 : 461,765.55 = 97,430.90 : x
  2. Step 2: Convert to fraction form
    307,814.90/461,765.55 = 97,430.90/x
  3. Step 3: Cross multiply
    307,814.90x = 461,765.55 × 97,430.90
  4. Step 4: Simplify right side
    307,814.90x = 44,990,233,125.50
  5. Step 5: Solve for x
    x = 44,990,233,125.50/307,814.90
  6. Step 6: Final answer
    x = 146,160.02

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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.