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Finding the Fourth Proportional to 494,473.23, 745,415.94 and 461,516.16

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Solution

The fourth proportional to 494,473.23, 745,415.94 and 461,516.16 is: 695,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,473.23 : 745,415.94 = 461,516.16 : x
  2. Step 2: Convert to fraction form
    494,473.23/745,415.94 = 461,516.16/x
  3. Step 3: Cross multiply
    494,473.23x = 745,415.94 × 461,516.16
  4. Step 4: Simplify right side
    494,473.23x = 344,021,502,231.59
  5. Step 5: Solve for x
    x = 344,021,502,231.59/494,473.23
  6. Step 6: Final answer
    x = 695,733.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.