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Finding the Fourth Proportional to 531,898.46, 734,016.38 and 302,455.77

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Solution

The fourth proportional to 531,898.46, 734,016.38 and 302,455.77 is: 417,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,898.46 : 734,016.38 = 302,455.77 : x
  2. Step 2: Convert to fraction form
    531,898.46/734,016.38 = 302,455.77/x
  3. Step 3: Cross multiply
    531,898.46x = 734,016.38 × 302,455.77
  4. Step 4: Simplify right side
    531,898.46x = 222,007,489,405.51
  5. Step 5: Solve for x
    x = 222,007,489,405.51/531,898.46
  6. Step 6: Final answer
    x = 417,386.98

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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.