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Finding the Fourth Proportional to 461,505.63, 692,339.70 and 157,828.40

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Solution

The fourth proportional to 461,505.63, 692,339.70 and 157,828.40 is: 236,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,505.63 : 692,339.70 = 157,828.40 : x
  2. Step 2: Convert to fraction form
    461,505.63/692,339.70 = 157,828.40/x
  3. Step 3: Cross multiply
    461,505.63x = 692,339.70 × 157,828.40
  4. Step 4: Simplify right side
    461,505.63x = 109,270,866,833.91
  5. Step 5: Solve for x
    x = 109,270,866,833.91/461,505.63
  6. Step 6: Final answer
    x = 236,770.39

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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.