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Finding the Fourth Proportional to 705,162.24, 973,134 and 382,872.96

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Solution

The fourth proportional to 705,162.24, 973,134 and 382,872.96 is: 528,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,162.24 : 973,134 = 382,872.96 : x
  2. Step 2: Convert to fraction form
    705,162.24/973,134 = 382,872.96/x
  3. Step 3: Cross multiply
    705,162.24x = 973,134 × 382,872.96
  4. Step 4: Simplify right side
    705,162.24x = 372,586,695,056.64
  5. Step 5: Solve for x
    x = 372,586,695,056.64/705,162.24
  6. Step 6: Final answer
    x = 528,370.17

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1.5x scale

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.