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Finding the Fourth Proportional to 477,004.64, 714,325.97 and 350,344.53

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Solution

The fourth proportional to 477,004.64, 714,325.97 and 350,344.53 is: 524,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,004.64 : 714,325.97 = 350,344.53 : x
  2. Step 2: Convert to fraction form
    477,004.64/714,325.97 = 350,344.53/x
  3. Step 3: Cross multiply
    477,004.64x = 714,325.97 × 350,344.53
  4. Step 4: Simplify right side
    477,004.64x = 250,260,196,226.44
  5. Step 5: Solve for x
    x = 250,260,196,226.44/477,004.64
  6. Step 6: Final answer
    x = 524,649.40

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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.