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Finding the Fourth Proportional to 416,953, 575,456.90 and 264,005.42

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Solution

The fourth proportional to 416,953, 575,456.90 and 264,005.42 is: 364,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,953 : 575,456.90 = 264,005.42 : x
  2. Step 2: Convert to fraction form
    416,953/575,456.90 = 264,005.42/x
  3. Step 3: Cross multiply
    416,953x = 575,456.90 × 264,005.42
  4. Step 4: Simplify right side
    416,953x = 151,923,740,576.40
  5. Step 5: Solve for x
    x = 151,923,740,576.40/416,953
  6. Step 6: Final answer
    x = 364,366.58

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1.5x scale

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.