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Finding the Fourth Proportional to 462,240.94, 692,177.64 and 319,889.11

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Solution

The fourth proportional to 462,240.94, 692,177.64 and 319,889.11 is: 479,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,240.94 : 692,177.64 = 319,889.11 : x
  2. Step 2: Convert to fraction form
    462,240.94/692,177.64 = 319,889.11/x
  3. Step 3: Cross multiply
    462,240.94x = 692,177.64 × 319,889.11
  4. Step 4: Simplify right side
    462,240.94x = 221,420,089,221.50
  5. Step 5: Solve for x
    x = 221,420,089,221.50/462,240.94
  6. Step 6: Final answer
    x = 479,014.45

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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.