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Finding the Fourth Proportional to 832,309.96, 1,148,464.59 and 505,453

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Solution

The fourth proportional to 832,309.96, 1,148,464.59 and 505,453 is: 697,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,309.96 : 1,148,464.59 = 505,453 : x
  2. Step 2: Convert to fraction form
    832,309.96/1,148,464.59 = 505,453/x
  3. Step 3: Cross multiply
    832,309.96x = 1,148,464.59 × 505,453
  4. Step 4: Simplify right side
    832,309.96x = 580,494,872,409.27
  5. Step 5: Solve for x
    x = 580,494,872,409.27/832,309.96
  6. Step 6: Final answer
    x = 697,450.35

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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.