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Finding the Fourth Proportional to 369,574.83, 510,014.43 and 199,810.17

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Solution

The fourth proportional to 369,574.83, 510,014.43 and 199,810.17 is: 275,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,574.83 : 510,014.43 = 199,810.17 : x
  2. Step 2: Convert to fraction form
    369,574.83/510,014.43 = 199,810.17/x
  3. Step 3: Cross multiply
    369,574.83x = 510,014.43 × 199,810.17
  4. Step 4: Simplify right side
    369,574.83x = 101,906,069,960.75
  5. Step 5: Solve for x
    x = 101,906,069,960.75/369,574.83
  6. Step 6: Final answer
    x = 275,738.66

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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.