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Finding the Fourth Proportional to 509,387.92, 702,914.22 and 294,541.90

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Solution

The fourth proportional to 509,387.92, 702,914.22 and 294,541.90 is: 406,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,387.92 : 702,914.22 = 294,541.90 : x
  2. Step 2: Convert to fraction form
    509,387.92/702,914.22 = 294,541.90/x
  3. Step 3: Cross multiply
    509,387.92x = 702,914.22 × 294,541.90
  4. Step 4: Simplify right side
    509,387.92x = 207,037,689,895.82
  5. Step 5: Solve for x
    x = 207,037,689,895.82/509,387.92
  6. Step 6: Final answer
    x = 406,444.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.