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Finding the Fourth Proportional to 583,296, 804,948.48 and 315,024

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Solution

The fourth proportional to 583,296, 804,948.48 and 315,024 is: 434,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,296 : 804,948.48 = 315,024 : x
  2. Step 2: Convert to fraction form
    583,296/804,948.48 = 315,024/x
  3. Step 3: Cross multiply
    583,296x = 804,948.48 × 315,024
  4. Step 4: Simplify right side
    583,296x = 253,578,089,963.52
  5. Step 5: Solve for x
    x = 253,578,089,963.52/583,296
  6. Step 6: Final answer
    x = 434,733.12

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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.