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Finding the Fourth Proportional to 931,014, 1,396,602 and 257,096.16

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Solution

The fourth proportional to 931,014, 1,396,602 and 257,096.16 is: 385,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,014 : 1,396,602 = 257,096.16 : x
  2. Step 2: Convert to fraction form
    931,014/1,396,602 = 257,096.16/x
  3. Step 3: Cross multiply
    931,014x = 1,396,602 × 257,096.16
  4. Step 4: Simplify right side
    931,014x = 359,061,011,248.32
  5. Step 5: Solve for x
    x = 359,061,011,248.32/931,014
  6. Step 6: Final answer
    x = 385,666.61

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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.