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Finding the Fourth Proportional to 415,376.97, 573,219.50 and 224,389.77

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Solution

The fourth proportional to 415,376.97, 573,219.50 and 224,389.77 is: 309,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,376.97 : 573,219.50 = 224,389.77 : x
  2. Step 2: Convert to fraction form
    415,376.97/573,219.50 = 224,389.77/x
  3. Step 3: Cross multiply
    415,376.97x = 573,219.50 × 224,389.77
  4. Step 4: Simplify right side
    415,376.97x = 128,624,590,642.57
  5. Step 5: Solve for x
    x = 128,624,590,642.57/415,376.97
  6. Step 6: Final answer
    x = 309,657.49

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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.