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Finding the Fourth Proportional to 307,374.04, 461,135.16 and 97,011.34

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Solution

The fourth proportional to 307,374.04, 461,135.16 and 97,011.34 is: 145,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,374.04 : 461,135.16 = 97,011.34 : x
  2. Step 2: Convert to fraction form
    307,374.04/461,135.16 = 97,011.34/x
  3. Step 3: Cross multiply
    307,374.04x = 461,135.16 × 97,011.34
  4. Step 4: Simplify right side
    307,374.04x = 44,735,339,792.71
  5. Step 5: Solve for x
    x = 44,735,339,792.71/307,374.04
  6. Step 6: Final answer
    x = 145,540.40

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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.