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Finding the Fourth Proportional to 415,941.98, 573,999.93 and 224,955.37

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Solution

The fourth proportional to 415,941.98, 573,999.93 and 224,955.37 is: 310,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,941.98 : 573,999.93 = 224,955.37 : x
  2. Step 2: Convert to fraction form
    415,941.98/573,999.93 = 224,955.37/x
  3. Step 3: Cross multiply
    415,941.98x = 573,999.93 × 224,955.37
  4. Step 4: Simplify right side
    415,941.98x = 129,124,364,635.74
  5. Step 5: Solve for x
    x = 129,124,364,635.74/415,941.98
  6. Step 6: Final answer
    x = 310,438.41

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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.