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Finding the Fourth Proportional to 431,703.60, 647,555.40 and 314,199.60

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Solution

The fourth proportional to 431,703.60, 647,555.40 and 314,199.60 is: 471,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,703.60 : 647,555.40 = 314,199.60 : x
  2. Step 2: Convert to fraction form
    431,703.60/647,555.40 = 314,199.60/x
  3. Step 3: Cross multiply
    431,703.60x = 647,555.40 × 314,199.60
  4. Step 4: Simplify right side
    431,703.60x = 203,461,647,657.84
  5. Step 5: Solve for x
    x = 203,461,647,657.84/431,703.60
  6. Step 6: Final answer
    x = 471,299.40

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1.5x scale

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.