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Finding the Fourth Proportional to 402,414.60, 602,930.70 and 191,598.60

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Solution

The fourth proportional to 402,414.60, 602,930.70 and 191,598.60 is: 287,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,414.60 : 602,930.70 = 191,598.60 : x
  2. Step 2: Convert to fraction form
    402,414.60/602,930.70 = 191,598.60/x
  3. Step 3: Cross multiply
    402,414.60x = 602,930.70 × 191,598.60
  4. Step 4: Simplify right side
    402,414.60x = 115,520,678,017.02
  5. Step 5: Solve for x
    x = 115,520,678,017.02/402,414.60
  6. Step 6: Final answer
    x = 287,068.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.