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Finding the Fourth Proportional to 345,720, 518,580 and 83,064

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Solution

The fourth proportional to 345,720, 518,580 and 83,064 is: 124,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,720 : 518,580 = 83,064 : x
  2. Step 2: Convert to fraction form
    345,720/518,580 = 83,064/x
  3. Step 3: Cross multiply
    345,720x = 518,580 × 83,064
  4. Step 4: Simplify right side
    345,720x = 43,075,329,120
  5. Step 5: Solve for x
    x = 43,075,329,120/345,720
  6. Step 6: Final answer
    x = 124,596

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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.