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Finding the Fourth Proportional to 601,972.49, 830,690.24 and 343,798.36

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Solution

The fourth proportional to 601,972.49, 830,690.24 and 343,798.36 is: 474,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,972.49 : 830,690.24 = 343,798.36 : x
  2. Step 2: Convert to fraction form
    601,972.49/830,690.24 = 343,798.36/x
  3. Step 3: Cross multiply
    601,972.49x = 830,690.24 × 343,798.36
  4. Step 4: Simplify right side
    601,972.49x = 285,589,938,384.29
  5. Step 5: Solve for x
    x = 285,589,938,384.29/601,972.49
  6. Step 6: Final answer
    x = 474,423.57

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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.