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Finding the Fourth Proportional to 382,673.14, 573,887.72 and 126,457.98

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Solution

The fourth proportional to 382,673.14, 573,887.72 and 126,457.98 is: 189,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,673.14 : 573,887.72 = 126,457.98 : x
  2. Step 2: Convert to fraction form
    382,673.14/573,887.72 = 126,457.98/x
  3. Step 3: Cross multiply
    382,673.14x = 573,887.72 × 126,457.98
  4. Step 4: Simplify right side
    382,673.14x = 72,572,681,818.01
  5. Step 5: Solve for x
    x = 72,572,681,818.01/382,673.14
  6. Step 6: Final answer
    x = 189,646.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.