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Finding the Fourth Proportional to 760,733.56, 1,049,825.22 and 416,564

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Solution

The fourth proportional to 760,733.56, 1,049,825.22 and 416,564 is: 574,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,733.56 : 1,049,825.22 = 416,564 : x
  2. Step 2: Convert to fraction form
    760,733.56/1,049,825.22 = 416,564/x
  3. Step 3: Cross multiply
    760,733.56x = 1,049,825.22 × 416,564
  4. Step 4: Simplify right side
    760,733.56x = 437,319,392,944.08
  5. Step 5: Solve for x
    x = 437,319,392,944.08/760,733.56
  6. Step 6: Final answer
    x = 574,865.39

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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.