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Finding the Fourth Proportional to 601,968.36, 830,684.54 and 343,794.22

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Solution

The fourth proportional to 601,968.36, 830,684.54 and 343,794.22 is: 474,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,968.36 : 830,684.54 = 343,794.22 : x
  2. Step 2: Convert to fraction form
    601,968.36/830,684.54 = 343,794.22/x
  3. Step 3: Cross multiply
    601,968.36x = 830,684.54 × 343,794.22
  4. Step 4: Simplify right side
    601,968.36x = 285,584,543,495.36
  5. Step 5: Solve for x
    x = 285,584,543,495.36/601,968.36
  6. Step 6: Final answer
    x = 474,417.86

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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.