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Finding the Fourth Proportional to 462,051.40, 692,558.70 and 262,467.40

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Solution

The fourth proportional to 462,051.40, 692,558.70 and 262,467.40 is: 393,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,051.40 : 692,558.70 = 262,467.40 : x
  2. Step 2: Convert to fraction form
    462,051.40/692,558.70 = 262,467.40/x
  3. Step 3: Cross multiply
    462,051.40x = 692,558.70 × 262,467.40
  4. Step 4: Simplify right side
    462,051.40x = 181,774,081,336.38
  5. Step 5: Solve for x
    x = 181,774,081,336.38/462,051.40
  6. Step 6: Final answer
    x = 393,406.62

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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.