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Finding the Fourth Proportional to 385,017.76, 577,482.49 and 100,735.75

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Solution

The fourth proportional to 385,017.76, 577,482.49 and 100,735.75 is: 151,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,017.76 : 577,482.49 = 100,735.75 : x
  2. Step 2: Convert to fraction form
    385,017.76/577,482.49 = 100,735.75/x
  3. Step 3: Cross multiply
    385,017.76x = 577,482.49 × 100,735.75
  4. Step 4: Simplify right side
    385,017.76x = 58,173,131,742.02
  5. Step 5: Solve for x
    x = 58,173,131,742.02/385,017.76
  6. Step 6: Final answer
    x = 151,092.07

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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.