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Finding the Fourth Proportional to 536,051.77, 739,762.01 and 294,332.23

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Solution

The fourth proportional to 536,051.77, 739,762.01 and 294,332.23 is: 406,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,051.77 : 739,762.01 = 294,332.23 : x
  2. Step 2: Convert to fraction form
    536,051.77/739,762.01 = 294,332.23/x
  3. Step 3: Cross multiply
    536,051.77x = 739,762.01 × 294,332.23
  4. Step 4: Simplify right side
    536,051.77x = 217,735,804,284.99
  5. Step 5: Solve for x
    x = 217,735,804,284.99/536,051.77
  6. Step 6: Final answer
    x = 406,184.28

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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.