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Finding the Fourth Proportional to 674,478.34, 931,214.01 and 432,865.06

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Solution

The fourth proportional to 674,478.34, 931,214.01 and 432,865.06 is: 597,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,478.34 : 931,214.01 = 432,865.06 : x
  2. Step 2: Convert to fraction form
    674,478.34/931,214.01 = 432,865.06/x
  3. Step 3: Cross multiply
    674,478.34x = 931,214.01 × 432,865.06
  4. Step 4: Simplify right side
    674,478.34x = 403,090,008,311.49
  5. Step 5: Solve for x
    x = 403,090,008,311.49/674,478.34
  6. Step 6: Final answer
    x = 597,632.25

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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.