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Finding the Fourth Proportional to 294,415.20, 413,114.40 and 294,415.20

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Solution

The fourth proportional to 294,415.20, 413,114.40 and 294,415.20 is: 413,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,415.20 : 413,114.40 = 294,415.20 : x
  2. Step 2: Convert to fraction form
    294,415.20/413,114.40 = 294,415.20/x
  3. Step 3: Cross multiply
    294,415.20x = 413,114.40 × 294,415.20
  4. Step 4: Simplify right side
    294,415.20x = 121,627,158,698.88
  5. Step 5: Solve for x
    x = 121,627,158,698.88/294,415.20
  6. Step 6: Final answer
    x = 413,114.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.