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Finding the Fourth Proportional to 415,868.40, 623,796.84 and 100,322.64

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Solution

The fourth proportional to 415,868.40, 623,796.84 and 100,322.64 is: 150,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,868.40 : 623,796.84 = 100,322.64 : x
  2. Step 2: Convert to fraction form
    415,868.40/623,796.84 = 100,322.64/x
  3. Step 3: Cross multiply
    415,868.40x = 623,796.84 × 100,322.64
  4. Step 4: Simplify right side
    415,868.40x = 62,580,945,812.46
  5. Step 5: Solve for x
    x = 62,580,945,812.46/415,868.40
  6. Step 6: Final answer
    x = 150,482.57

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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.