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Finding the Fourth Proportional to 597,642.80, 893,872.20 and 534,916.40

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Solution

The fourth proportional to 597,642.80, 893,872.20 and 534,916.40 is: 800,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,642.80 : 893,872.20 = 534,916.40 : x
  2. Step 2: Convert to fraction form
    597,642.80/893,872.20 = 534,916.40/x
  3. Step 3: Cross multiply
    597,642.80x = 893,872.20 × 534,916.40
  4. Step 4: Simplify right side
    597,642.80x = 478,146,899,284.08
  5. Step 5: Solve for x
    x = 478,146,899,284.08/597,642.80
  6. Step 6: Final answer
    x = 800,054.65

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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.