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Finding the Fourth Proportional to 596,333.52, 824,121 and 488,733.84

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Solution

The fourth proportional to 596,333.52, 824,121 and 488,733.84 is: 675,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,333.52 : 824,121 = 488,733.84 : x
  2. Step 2: Convert to fraction form
    596,333.52/824,121 = 488,733.84/x
  3. Step 3: Cross multiply
    596,333.52x = 824,121 × 488,733.84
  4. Step 4: Simplify right side
    596,333.52x = 402,775,820,954.64
  5. Step 5: Solve for x
    x = 402,775,820,954.64/596,333.52
  6. Step 6: Final answer
    x = 675,420.39

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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.