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Finding the Fourth Proportional to 369,969, 510,557.67 and 200,203.13

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Solution

The fourth proportional to 369,969, 510,557.67 and 200,203.13 is: 276,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,969 : 510,557.67 = 200,203.13 : x
  2. Step 2: Convert to fraction form
    369,969/510,557.67 = 200,203.13/x
  3. Step 3: Cross multiply
    369,969x = 510,557.67 × 200,203.13
  4. Step 4: Simplify right side
    369,969x = 102,215,241,026.72
  5. Step 5: Solve for x
    x = 102,215,241,026.72/369,969
  6. Step 6: Final answer
    x = 276,280.56

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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.