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Finding the Fourth Proportional to 564,031.47, 778,361.36 and 349,128.75

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Solution

The fourth proportional to 564,031.47, 778,361.36 and 349,128.75 is: 481,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,031.47 : 778,361.36 = 349,128.75 : x
  2. Step 2: Convert to fraction form
    564,031.47/778,361.36 = 349,128.75/x
  3. Step 3: Cross multiply
    564,031.47x = 778,361.36 × 349,128.75
  4. Step 4: Simplify right side
    564,031.47x = 271,748,326,919.46
  5. Step 5: Solve for x
    x = 271,748,326,919.46/564,031.47
  6. Step 6: Final answer
    x = 481,796.39

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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.