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Finding the Fourth Proportional to 307,931.70, 462,051.15 and 174,914.10

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Solution

The fourth proportional to 307,931.70, 462,051.15 and 174,914.10 is: 262,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,931.70 : 462,051.15 = 174,914.10 : x
  2. Step 2: Convert to fraction form
    307,931.70/462,051.15 = 174,914.10/x
  3. Step 3: Cross multiply
    307,931.70x = 462,051.15 × 174,914.10
  4. Step 4: Simplify right side
    307,931.70x = 80,819,261,056.22
  5. Step 5: Solve for x
    x = 80,819,261,056.22/307,931.70
  6. Step 6: Final answer
    x = 262,458.40

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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.