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Finding the Fourth Proportional to 567,200.20, 849,998.40 and 314,592

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Solution

The fourth proportional to 567,200.20, 849,998.40 and 314,592 is: 471,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,200.20 : 849,998.40 = 314,592 : x
  2. Step 2: Convert to fraction form
    567,200.20/849,998.40 = 314,592/x
  3. Step 3: Cross multiply
    567,200.20x = 849,998.40 × 314,592
  4. Step 4: Simplify right side
    567,200.20x = 267,402,696,652.80
  5. Step 5: Solve for x
    x = 267,402,696,652.80/567,200.20
  6. Step 6: Final answer
    x = 471,443.23

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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.