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Finding the Fourth Proportional to 446,085.60, 669,128.40 and 410,143.20

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Solution

The fourth proportional to 446,085.60, 669,128.40 and 410,143.20 is: 615,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,085.60 : 669,128.40 = 410,143.20 : x
  2. Step 2: Convert to fraction form
    446,085.60/669,128.40 = 410,143.20/x
  3. Step 3: Cross multiply
    446,085.60x = 669,128.40 × 410,143.20
  4. Step 4: Simplify right side
    446,085.60x = 274,438,463,186.88
  5. Step 5: Solve for x
    x = 274,438,463,186.88/446,085.60
  6. Step 6: Final answer
    x = 615,214.80

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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.