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Finding the Fourth Proportional to 531,765.40, 734,195.59 and 409,039.85

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Solution

The fourth proportional to 531,765.40, 734,195.59 and 409,039.85 is: 564,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,765.40 : 734,195.59 = 409,039.85 : x
  2. Step 2: Convert to fraction form
    531,765.40/734,195.59 = 409,039.85/x
  3. Step 3: Cross multiply
    531,765.40x = 734,195.59 × 409,039.85
  4. Step 4: Simplify right side
    531,765.40x = 300,315,252,988.15
  5. Step 5: Solve for x
    x = 300,315,252,988.15/531,765.40
  6. Step 6: Final answer
    x = 564,751.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.