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Finding the Fourth Proportional to 307,301.42, 460,966.71 and 149,341.70

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Solution

The fourth proportional to 307,301.42, 460,966.71 and 149,341.70 is: 224,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,301.42 : 460,966.71 = 149,341.70 : x
  2. Step 2: Convert to fraction form
    307,301.42/460,966.71 = 149,341.70/x
  3. Step 3: Cross multiply
    307,301.42x = 460,966.71 × 149,341.70
  4. Step 4: Simplify right side
    307,301.42x = 68,841,552,114.81
  5. Step 5: Solve for x
    x = 68,841,552,114.81/307,301.42
  6. Step 6: Final answer
    x = 224,019.64

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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.