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Finding the Fourth Proportional to 384,814.40, 577,221.60 and 174,862.40

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Solution

The fourth proportional to 384,814.40, 577,221.60 and 174,862.40 is: 262,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,814.40 : 577,221.60 = 174,862.40 : x
  2. Step 2: Convert to fraction form
    384,814.40/577,221.60 = 174,862.40/x
  3. Step 3: Cross multiply
    384,814.40x = 577,221.60 × 174,862.40
  4. Step 4: Simplify right side
    384,814.40x = 100,934,354,307.84
  5. Step 5: Solve for x
    x = 100,934,354,307.84/384,814.40
  6. Step 6: Final answer
    x = 262,293.60

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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.