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Finding the Fourth Proportional to 367,328.49, 506,948.01 and 214,354.32

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Solution

The fourth proportional to 367,328.49, 506,948.01 and 214,354.32 is: 295,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,328.49 : 506,948.01 = 214,354.32 : x
  2. Step 2: Convert to fraction form
    367,328.49/506,948.01 = 214,354.32/x
  3. Step 3: Cross multiply
    367,328.49x = 506,948.01 × 214,354.32
  4. Step 4: Simplify right side
    367,328.49x = 108,666,495,958.90
  5. Step 5: Solve for x
    x = 108,666,495,958.90/367,328.49
  6. Step 6: Final answer
    x = 295,829.21

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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.