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Finding the Fourth Proportional to 596,207.64, 822,495.16 and 354,352.78

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Solution

The fourth proportional to 596,207.64, 822,495.16 and 354,352.78 is: 488,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,207.64 : 822,495.16 = 354,352.78 : x
  2. Step 2: Convert to fraction form
    596,207.64/822,495.16 = 354,352.78/x
  3. Step 3: Cross multiply
    596,207.64x = 822,495.16 × 354,352.78
  4. Step 4: Simplify right side
    596,207.64x = 291,453,443,327.07
  5. Step 5: Solve for x
    x = 291,453,443,327.07/596,207.64
  6. Step 6: Final answer
    x = 488,845.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.