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Finding the Fourth Proportional to 706,534.44, 975,008.10 and 384,237.60

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Solution

The fourth proportional to 706,534.44, 975,008.10 and 384,237.60 is: 530,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,534.44 : 975,008.10 = 384,237.60 : x
  2. Step 2: Convert to fraction form
    706,534.44/975,008.10 = 384,237.60/x
  3. Step 3: Cross multiply
    706,534.44x = 975,008.10 × 384,237.60
  4. Step 4: Simplify right side
    706,534.44x = 374,634,772,324.56
  5. Step 5: Solve for x
    x = 374,634,772,324.56/706,534.44
  6. Step 6: Final answer
    x = 530,242.76

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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.