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Finding the Fourth Proportional to 343,300.20, 514,950.30 and 284,980.20

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Solution

The fourth proportional to 343,300.20, 514,950.30 and 284,980.20 is: 427,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,300.20 : 514,950.30 = 284,980.20 : x
  2. Step 2: Convert to fraction form
    343,300.20/514,950.30 = 284,980.20/x
  3. Step 3: Cross multiply
    343,300.20x = 514,950.30 × 284,980.20
  4. Step 4: Simplify right side
    343,300.20x = 146,750,639,484.06
  5. Step 5: Solve for x
    x = 146,750,639,484.06/343,300.20
  6. Step 6: Final answer
    x = 427,470.30

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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.