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Finding the Fourth Proportional to 413,135.40, 618,390.90 and 295,037.40

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Solution

The fourth proportional to 413,135.40, 618,390.90 and 295,037.40 is: 441,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,135.40 : 618,390.90 = 295,037.40 : x
  2. Step 2: Convert to fraction form
    413,135.40/618,390.90 = 295,037.40/x
  3. Step 3: Cross multiply
    413,135.40x = 618,390.90 × 295,037.40
  4. Step 4: Simplify right side
    413,135.40x = 182,448,443,319.66
  5. Step 5: Solve for x
    x = 182,448,443,319.66/413,135.40
  6. Step 6: Final answer
    x = 441,619.00

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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.