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Finding the Fourth Proportional to 598,558.48, 824,871 and 428,497.36

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Solution

The fourth proportional to 598,558.48, 824,871 and 428,497.36 is: 590,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,558.48 : 824,871 = 428,497.36 : x
  2. Step 2: Convert to fraction form
    598,558.48/824,871 = 428,497.36/x
  3. Step 3: Cross multiply
    598,558.48x = 824,871 × 428,497.36
  4. Step 4: Simplify right side
    598,558.48x = 353,455,045,840.56
  5. Step 5: Solve for x
    x = 353,455,045,840.56/598,558.48
  6. Step 6: Final answer
    x = 590,510.46

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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.