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Finding the Fourth Proportional to 402,415.60, 603,623.40 and 121,946.80

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Solution

The fourth proportional to 402,415.60, 603,623.40 and 121,946.80 is: 182,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,415.60 : 603,623.40 = 121,946.80 : x
  2. Step 2: Convert to fraction form
    402,415.60/603,623.40 = 121,946.80/x
  3. Step 3: Cross multiply
    402,415.60x = 603,623.40 × 121,946.80
  4. Step 4: Simplify right side
    402,415.60x = 73,609,942,035.12
  5. Step 5: Solve for x
    x = 73,609,942,035.12/402,415.60
  6. Step 6: Final answer
    x = 182,920.20

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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.