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Finding the Fourth Proportional to 467,461.31, 700,942.47 and 242,595.32

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Solution

The fourth proportional to 467,461.31, 700,942.47 and 242,595.32 is: 363,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,461.31 : 700,942.47 = 242,595.32 : x
  2. Step 2: Convert to fraction form
    467,461.31/700,942.47 = 242,595.32/x
  3. Step 3: Cross multiply
    467,461.31x = 700,942.47 × 242,595.32
  4. Step 4: Simplify right side
    467,461.31x = 170,045,362,811.24
  5. Step 5: Solve for x
    x = 170,045,362,811.24/467,461.31
  6. Step 6: Final answer
    x = 363,763.50

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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.