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Finding the Fourth Proportional to 415,581.84, 573,237 and 288,210.96

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Solution

The fourth proportional to 415,581.84, 573,237 and 288,210.96 is: 397,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,581.84 : 573,237 = 288,210.96 : x
  2. Step 2: Convert to fraction form
    415,581.84/573,237 = 288,210.96/x
  3. Step 3: Cross multiply
    415,581.84x = 573,237 × 288,210.96
  4. Step 4: Simplify right side
    415,581.84x = 165,213,186,077.52
  5. Step 5: Solve for x
    x = 165,213,186,077.52/415,581.84
  6. Step 6: Final answer
    x = 397,546.69

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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.