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Finding the Fourth Proportional to 597,392, 895,720.12 and 293,399.54

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Solution

The fourth proportional to 597,392, 895,720.12 and 293,399.54 is: 439,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,392 : 895,720.12 = 293,399.54 : x
  2. Step 2: Convert to fraction form
    597,392/895,720.12 = 293,399.54/x
  3. Step 3: Cross multiply
    597,392x = 895,720.12 × 293,399.54
  4. Step 4: Simplify right side
    597,392x = 262,803,871,176.75
  5. Step 5: Solve for x
    x = 262,803,871,176.75/597,392
  6. Step 6: Final answer
    x = 439,918.63

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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.