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Finding the Fourth Proportional to 461,346.30, 692,116.65 and 194,969.70

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Solution

The fourth proportional to 461,346.30, 692,116.65 and 194,969.70 is: 292,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,346.30 : 692,116.65 = 194,969.70 : x
  2. Step 2: Convert to fraction form
    461,346.30/692,116.65 = 194,969.70/x
  3. Step 3: Cross multiply
    461,346.30x = 692,116.65 × 194,969.70
  4. Step 4: Simplify right side
    461,346.30x = 134,941,775,615.51
  5. Step 5: Solve for x
    x = 134,941,775,615.51/461,346.30
  6. Step 6: Final answer
    x = 292,495.63

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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.