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Finding the Fourth Proportional to 307,225.48, 460,901.10 and 174,165.16

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Solution

The fourth proportional to 307,225.48, 460,901.10 and 174,165.16 is: 261,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,225.48 : 460,901.10 = 174,165.16 : x
  2. Step 2: Convert to fraction form
    307,225.48/460,901.10 = 174,165.16/x
  3. Step 3: Cross multiply
    307,225.48x = 460,901.10 × 174,165.16
  4. Step 4: Simplify right side
    307,225.48x = 80,272,913,825.68
  5. Step 5: Solve for x
    x = 80,272,913,825.68/307,225.48
  6. Step 6: Final answer
    x = 261,283.39

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1.5x scale

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.