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Finding the Fourth Proportional to 462,256.98, 692,201.58 and 319,905.16

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Solution

The fourth proportional to 462,256.98, 692,201.58 and 319,905.16 is: 479,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,256.98 : 692,201.58 = 319,905.16 : x
  2. Step 2: Convert to fraction form
    462,256.98/692,201.58 = 319,905.16/x
  3. Step 3: Cross multiply
    462,256.98x = 692,201.58 × 319,905.16
  4. Step 4: Simplify right side
    462,256.98x = 221,438,857,202.15
  5. Step 5: Solve for x
    x = 221,438,857,202.15/462,256.98
  6. Step 6: Final answer
    x = 479,038.43

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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.