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Finding the Fourth Proportional to 468,643.95, 702,820.42 and 169,085.50

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Solution

The fourth proportional to 468,643.95, 702,820.42 and 169,085.50 is: 253,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.95 : 702,820.42 = 169,085.50 : x
  2. Step 2: Convert to fraction form
    468,643.95/702,820.42 = 169,085.50/x
  3. Step 3: Cross multiply
    468,643.95x = 702,820.42 × 169,085.50
  4. Step 4: Simplify right side
    468,643.95x = 118,836,739,946.15
  5. Step 5: Solve for x
    x = 118,836,739,946.15/468,643.95
  6. Step 6: Final answer
    x = 253,575.75

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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.