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Finding the Fourth Proportional to 563,464.56, 845,196.84 and 341,382

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Solution

The fourth proportional to 563,464.56, 845,196.84 and 341,382 is: 512,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,464.56 : 845,196.84 = 341,382 : x
  2. Step 2: Convert to fraction form
    563,464.56/845,196.84 = 341,382/x
  3. Step 3: Cross multiply
    563,464.56x = 845,196.84 × 341,382
  4. Step 4: Simplify right side
    563,464.56x = 288,534,987,632.88
  5. Step 5: Solve for x
    x = 288,534,987,632.88/563,464.56
  6. Step 6: Final answer
    x = 512,073.00

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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.