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Finding the Fourth Proportional to 379,407.19, 569,172.55 and 177,205.50

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Solution

The fourth proportional to 379,407.19, 569,172.55 and 177,205.50 is: 265,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,407.19 : 569,172.55 = 177,205.50 : x
  2. Step 2: Convert to fraction form
    379,407.19/569,172.55 = 177,205.50/x
  3. Step 3: Cross multiply
    379,407.19x = 569,172.55 × 177,205.50
  4. Step 4: Simplify right side
    379,407.19x = 100,860,506,309.03
  5. Step 5: Solve for x
    x = 100,860,506,309.03/379,407.19
  6. Step 6: Final answer
    x = 265,837.10

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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.