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Finding the Fourth Proportional to 535,729.09, 739,303.98 and 294,015.64

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Solution

The fourth proportional to 535,729.09, 739,303.98 and 294,015.64 is: 405,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,729.09 : 739,303.98 = 294,015.64 : x
  2. Step 2: Convert to fraction form
    535,729.09/739,303.98 = 294,015.64/x
  3. Step 3: Cross multiply
    535,729.09x = 739,303.98 × 294,015.64
  4. Step 4: Simplify right side
    535,729.09x = 217,366,932,834.25
  5. Step 5: Solve for x
    x = 217,366,932,834.25/535,729.09
  6. Step 6: Final answer
    x = 405,740.40

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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.