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Finding the Fourth Proportional to 297,921.18, 411,106.74 and 175,394.10

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Solution

The fourth proportional to 297,921.18, 411,106.74 and 175,394.10 is: 242,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,921.18 : 411,106.74 = 175,394.10 : x
  2. Step 2: Convert to fraction form
    297,921.18/411,106.74 = 175,394.10/x
  3. Step 3: Cross multiply
    297,921.18x = 411,106.74 × 175,394.10
  4. Step 4: Simplify right side
    297,921.18x = 72,105,696,666.23
  5. Step 5: Solve for x
    x = 72,105,696,666.23/297,921.18
  6. Step 6: Final answer
    x = 242,029.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.