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Finding the Fourth Proportional to 463,928.42, 640,210.77 and 270,324.14

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Solution

The fourth proportional to 463,928.42, 640,210.77 and 270,324.14 is: 373,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,928.42 : 640,210.77 = 270,324.14 : x
  2. Step 2: Convert to fraction form
    463,928.42/640,210.77 = 270,324.14/x
  3. Step 3: Cross multiply
    463,928.42x = 640,210.77 × 270,324.14
  4. Step 4: Simplify right side
    463,928.42x = 173,064,425,818.99
  5. Step 5: Solve for x
    x = 173,064,425,818.99/463,928.42
  6. Step 6: Final answer
    x = 373,041.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.