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Finding the Fourth Proportional to 616,588, 850,891.44 and 333,964

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Solution

The fourth proportional to 616,588, 850,891.44 and 333,964 is: 460,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,588 : 850,891.44 = 333,964 : x
  2. Step 2: Convert to fraction form
    616,588/850,891.44 = 333,964/x
  3. Step 3: Cross multiply
    616,588x = 850,891.44 × 333,964
  4. Step 4: Simplify right side
    616,588x = 284,167,108,868.16
  5. Step 5: Solve for x
    x = 284,167,108,868.16/616,588
  6. Step 6: Final answer
    x = 460,870.32

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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.