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Finding the Fourth Proportional to 705,458.46, 973,505.03 and 418,971.18

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Solution

The fourth proportional to 705,458.46, 973,505.03 and 418,971.18 is: 578,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,458.46 : 973,505.03 = 418,971.18 : x
  2. Step 2: Convert to fraction form
    705,458.46/973,505.03 = 418,971.18/x
  3. Step 3: Cross multiply
    705,458.46x = 973,505.03 × 418,971.18
  4. Step 4: Simplify right side
    705,458.46x = 407,870,549,060.18
  5. Step 5: Solve for x
    x = 407,870,549,060.18/705,458.46
  6. Step 6: Final answer
    x = 578,163.81

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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.