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Finding the Fourth Proportional to 415,941.77, 573,999.64 and 224,955.16

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Solution

The fourth proportional to 415,941.77, 573,999.64 and 224,955.16 is: 310,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,941.77 : 573,999.64 = 224,955.16 : x
  2. Step 2: Convert to fraction form
    415,941.77/573,999.64 = 224,955.16/x
  3. Step 3: Cross multiply
    415,941.77x = 573,999.64 × 224,955.16
  4. Step 4: Simplify right side
    415,941.77x = 129,124,180,856.14
  5. Step 5: Solve for x
    x = 129,124,180,856.14/415,941.77
  6. Step 6: Final answer
    x = 310,438.12

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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.