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Finding the Fourth Proportional to 474,461.34, 654,750.72 and 270,505.77

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Solution

The fourth proportional to 474,461.34, 654,750.72 and 270,505.77 is: 373,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,461.34 : 654,750.72 = 270,505.77 : x
  2. Step 2: Convert to fraction form
    474,461.34/654,750.72 = 270,505.77/x
  3. Step 3: Cross multiply
    474,461.34x = 654,750.72 × 270,505.77
  4. Step 4: Simplify right side
    474,461.34x = 177,113,847,671.65
  5. Step 5: Solve for x
    x = 177,113,847,671.65/474,461.34
  6. Step 6: Final answer
    x = 373,294.58

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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.