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Finding the Fourth Proportional to 583,256, 804,893.44 and 314,984

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Solution

The fourth proportional to 583,256, 804,893.44 and 314,984 is: 434,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,256 : 804,893.44 = 314,984 : x
  2. Step 2: Convert to fraction form
    583,256/804,893.44 = 314,984/x
  3. Step 3: Cross multiply
    583,256x = 804,893.44 × 314,984
  4. Step 4: Simplify right side
    583,256x = 253,528,555,304.96
  5. Step 5: Solve for x
    x = 253,528,555,304.96/583,256
  6. Step 6: Final answer
    x = 434,678.01

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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.