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Finding the Fourth Proportional to 385,525.20, 532,362.60 and 242,533.20

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Solution

The fourth proportional to 385,525.20, 532,362.60 and 242,533.20 is: 334,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,525.20 : 532,362.60 = 242,533.20 : x
  2. Step 2: Convert to fraction form
    385,525.20/532,362.60 = 242,533.20/x
  3. Step 3: Cross multiply
    385,525.20x = 532,362.60 × 242,533.20
  4. Step 4: Simplify right side
    385,525.20x = 129,115,604,938.32
  5. Step 5: Solve for x
    x = 129,115,604,938.32/385,525.20
  6. Step 6: Final answer
    x = 334,908.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.