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Finding the Fourth Proportional to 402,465.60, 603,698.40 and 215,841.60

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Solution

The fourth proportional to 402,465.60, 603,698.40 and 215,841.60 is: 323,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,465.60 : 603,698.40 = 215,841.60 : x
  2. Step 2: Convert to fraction form
    402,465.60/603,698.40 = 215,841.60/x
  3. Step 3: Cross multiply
    402,465.60x = 603,698.40 × 215,841.60
  4. Step 4: Simplify right side
    402,465.60x = 130,303,228,573.44
  5. Step 5: Solve for x
    x = 130,303,228,573.44/402,465.60
  6. Step 6: Final answer
    x = 323,762.40

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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.