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Finding the Fourth Proportional to 461,903.10, 692,710.65 and 181,506.30

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Solution

The fourth proportional to 461,903.10, 692,710.65 and 181,506.30 is: 272,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,903.10 : 692,710.65 = 181,506.30 : x
  2. Step 2: Convert to fraction form
    461,903.10/692,710.65 = 181,506.30/x
  3. Step 3: Cross multiply
    461,903.10x = 692,710.65 × 181,506.30
  4. Step 4: Simplify right side
    461,903.10x = 125,731,347,052.10
  5. Step 5: Solve for x
    x = 125,731,347,052.10/461,903.10
  6. Step 6: Final answer
    x = 272,202.86

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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.