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Finding the Fourth Proportional to 307,287.40, 460,931.10 and 96,946.60

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Solution

The fourth proportional to 307,287.40, 460,931.10 and 96,946.60 is: 145,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,287.40 : 460,931.10 = 96,946.60 : x
  2. Step 2: Convert to fraction form
    307,287.40/460,931.10 = 96,946.60/x
  3. Step 3: Cross multiply
    307,287.40x = 460,931.10 × 96,946.60
  4. Step 4: Simplify right side
    307,287.40x = 44,685,702,979.26
  5. Step 5: Solve for x
    x = 44,685,702,979.26/307,287.40
  6. Step 6: Final answer
    x = 145,419.90

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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.