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Finding the Fourth Proportional to 596,578.32, 894,430.06 and 280,863

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Solution

The fourth proportional to 596,578.32, 894,430.06 and 280,863 is: 421,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,578.32 : 894,430.06 = 280,863 : x
  2. Step 2: Convert to fraction form
    596,578.32/894,430.06 = 280,863/x
  3. Step 3: Cross multiply
    596,578.32x = 894,430.06 × 280,863
  4. Step 4: Simplify right side
    596,578.32x = 251,212,309,941.78
  5. Step 5: Solve for x
    x = 251,212,309,941.78/596,578.32
  6. Step 6: Final answer
    x = 421,088.57

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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.