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Finding the Fourth Proportional to 384,938.40, 577,407.60 and 118,675.20

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Solution

The fourth proportional to 384,938.40, 577,407.60 and 118,675.20 is: 178,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,938.40 : 577,407.60 = 118,675.20 : x
  2. Step 2: Convert to fraction form
    384,938.40/577,407.60 = 118,675.20/x
  3. Step 3: Cross multiply
    384,938.40x = 577,407.60 × 118,675.20
  4. Step 4: Simplify right side
    384,938.40x = 68,523,962,411.52
  5. Step 5: Solve for x
    x = 68,523,962,411.52/384,938.40
  6. Step 6: Final answer
    x = 178,012.80

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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.