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Finding the Fourth Proportional to 560,213.51, 773,094.51 and 305,564.63

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Solution

The fourth proportional to 560,213.51, 773,094.51 and 305,564.63 is: 421,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,213.51 : 773,094.51 = 305,564.63 : x
  2. Step 2: Convert to fraction form
    560,213.51/773,094.51 = 305,564.63/x
  3. Step 3: Cross multiply
    560,213.51x = 773,094.51 × 305,564.63
  4. Step 4: Simplify right side
    560,213.51x = 236,230,334,037.71
  5. Step 5: Solve for x
    x = 236,230,334,037.71/560,213.51
  6. Step 6: Final answer
    x = 421,679.11

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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.