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Finding the Fourth Proportional to 461,903.60, 692,711.40 and 181,506.80

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Solution

The fourth proportional to 461,903.60, 692,711.40 and 181,506.80 is: 272,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,903.60 : 692,711.40 = 181,506.80 : x
  2. Step 2: Convert to fraction form
    461,903.60/692,711.40 = 181,506.80/x
  3. Step 3: Cross multiply
    461,903.60x = 692,711.40 × 181,506.80
  4. Step 4: Simplify right side
    461,903.60x = 125,731,829,537.52
  5. Step 5: Solve for x
    x = 125,731,829,537.52/461,903.60
  6. Step 6: Final answer
    x = 272,203.61

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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.