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Finding the Fourth Proportional to 583,425, 873,970.19 and 463,684.02

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Solution

The fourth proportional to 583,425, 873,970.19 and 463,684.02 is: 694,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,425 : 873,970.19 = 463,684.02 : x
  2. Step 2: Convert to fraction form
    583,425/873,970.19 = 463,684.02/x
  3. Step 3: Cross multiply
    583,425x = 873,970.19 × 463,684.02
  4. Step 4: Simplify right side
    583,425x = 405,246,005,463.56
  5. Step 5: Solve for x
    x = 405,246,005,463.56/583,425
  6. Step 6: Final answer
    x = 694,598.29

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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.