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Finding the Fourth Proportional to 346,576.44, 478,075.94 and 208,659.48

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Solution

The fourth proportional to 346,576.44, 478,075.94 and 208,659.48 is: 287,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,576.44 : 478,075.94 = 208,659.48 : x
  2. Step 2: Convert to fraction form
    346,576.44/478,075.94 = 208,659.48/x
  3. Step 3: Cross multiply
    346,576.44x = 478,075.94 × 208,659.48
  4. Step 4: Simplify right side
    346,576.44x = 99,755,075,997.61
  5. Step 5: Solve for x
    x = 99,755,075,997.61/346,576.44
  6. Step 6: Final answer
    x = 287,829.94

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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.