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Finding the Fourth Proportional to 601,948.41, 830,758.05 and 343,866.21

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Solution

The fourth proportional to 601,948.41, 830,758.05 and 343,866.21 is: 474,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,948.41 : 830,758.05 = 343,866.21 : x
  2. Step 2: Convert to fraction form
    601,948.41/830,758.05 = 343,866.21/x
  3. Step 3: Cross multiply
    601,948.41x = 830,758.05 × 343,866.21
  4. Step 4: Simplify right side
    601,948.41x = 285,669,622,080.49
  5. Step 5: Solve for x
    x = 285,669,622,080.49/601,948.41
  6. Step 6: Final answer
    x = 474,574.93

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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.