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Finding the Fourth Proportional to 705,421.92, 973,330.80 and 419,038.56

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Solution

The fourth proportional to 705,421.92, 973,330.80 and 419,038.56 is: 578,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,421.92 : 973,330.80 = 419,038.56 : x
  2. Step 2: Convert to fraction form
    705,421.92/973,330.80 = 419,038.56/x
  3. Step 3: Cross multiply
    705,421.92x = 973,330.80 × 419,038.56
  4. Step 4: Simplify right side
    705,421.92x = 407,863,136,835.65
  5. Step 5: Solve for x
    x = 407,863,136,835.65/705,421.92
  6. Step 6: Final answer
    x = 578,183.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.