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Finding the Fourth Proportional to 460,666, 691,094.58 and 194,428.72

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Solution

The fourth proportional to 460,666, 691,094.58 and 194,428.72 is: 291,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,666 : 691,094.58 = 194,428.72 : x
  2. Step 2: Convert to fraction form
    460,666/691,094.58 = 194,428.72/x
  3. Step 3: Cross multiply
    460,666x = 691,094.58 × 194,428.72
  4. Step 4: Simplify right side
    460,666x = 134,368,634,588.34
  5. Step 5: Solve for x
    x = 134,368,634,588.34/460,666
  6. Step 6: Final answer
    x = 291,683.42

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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.