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Finding the Fourth Proportional to 705,318.09, 973,697.45 and 447,458.45

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Solution

The fourth proportional to 705,318.09, 973,697.45 and 447,458.45 is: 617,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,318.09 : 973,697.45 = 447,458.45 : x
  2. Step 2: Convert to fraction form
    705,318.09/973,697.45 = 447,458.45/x
  3. Step 3: Cross multiply
    705,318.09x = 973,697.45 × 447,458.45
  4. Step 4: Simplify right side
    705,318.09x = 435,689,144,640.17
  5. Step 5: Solve for x
    x = 435,689,144,640.17/705,318.09
  6. Step 6: Final answer
    x = 617,720.08

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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.