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Finding the Fourth Proportional to 402,636.40, 603,225.60 and 318,947.20

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Solution

The fourth proportional to 402,636.40, 603,225.60 and 318,947.20 is: 477,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,636.40 : 603,225.60 = 318,947.20 : x
  2. Step 2: Convert to fraction form
    402,636.40/603,225.60 = 318,947.20/x
  3. Step 3: Cross multiply
    402,636.40x = 603,225.60 × 318,947.20
  4. Step 4: Simplify right side
    402,636.40x = 192,397,116,088.32
  5. Step 5: Solve for x
    x = 192,397,116,088.32/402,636.40
  6. Step 6: Final answer
    x = 477,843.32

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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.