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Finding the Fourth Proportional to 415,433.63, 573,298.82 and 224,447.18

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Solution

The fourth proportional to 415,433.63, 573,298.82 and 224,447.18 is: 309,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,433.63 : 573,298.82 = 224,447.18 : x
  2. Step 2: Convert to fraction form
    415,433.63/573,298.82 = 224,447.18/x
  3. Step 3: Cross multiply
    415,433.63x = 573,298.82 × 224,447.18
  4. Step 4: Simplify right side
    415,433.63x = 128,675,299,457.60
  5. Step 5: Solve for x
    x = 128,675,299,457.60/415,433.63
  6. Step 6: Final answer
    x = 309,737.32

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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.