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Finding the Fourth Proportional to 529,661, 794,498.80 and 293,465

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Solution

The fourth proportional to 529,661, 794,498.80 and 293,465 is: 440,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,661 : 794,498.80 = 293,465 : x
  2. Step 2: Convert to fraction form
    529,661/794,498.80 = 293,465/x
  3. Step 3: Cross multiply
    529,661x = 794,498.80 × 293,465
  4. Step 4: Simplify right side
    529,661x = 233,157,590,342
  5. Step 5: Solve for x
    x = 233,157,590,342/529,661
  6. Step 6: Final answer
    x = 440,201.54

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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.