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Finding the Fourth Proportional to 651,642.40, 978,338.40 and 416,029.60

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Solution

The fourth proportional to 651,642.40, 978,338.40 and 416,029.60 is: 624,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,642.40 : 978,338.40 = 416,029.60 : x
  2. Step 2: Convert to fraction form
    651,642.40/978,338.40 = 416,029.60/x
  3. Step 3: Cross multiply
    651,642.40x = 978,338.40 × 416,029.60
  4. Step 4: Simplify right side
    651,642.40x = 407,017,733,216.64
  5. Step 5: Solve for x
    x = 407,017,733,216.64/651,642.40
  6. Step 6: Final answer
    x = 624,602.90

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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.