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Finding the Fourth Proportional to 589,385.22, 884,084.01 and 471,804

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Solution

The fourth proportional to 589,385.22, 884,084.01 and 471,804 is: 707,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,385.22 : 884,084.01 = 471,804 : x
  2. Step 2: Convert to fraction form
    589,385.22/884,084.01 = 471,804/x
  3. Step 3: Cross multiply
    589,385.22x = 884,084.01 × 471,804
  4. Step 4: Simplify right side
    589,385.22x = 417,114,369,895.02
  5. Step 5: Solve for x
    x = 417,114,369,895.02/589,385.22
  6. Step 6: Final answer
    x = 707,710.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.