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Finding the Fourth Proportional to 716,048.84, 988,145.96 and 410,224.22

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Solution

The fourth proportional to 716,048.84, 988,145.96 and 410,224.22 is: 566,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,048.84 : 988,145.96 = 410,224.22 : x
  2. Step 2: Convert to fraction form
    716,048.84/988,145.96 = 410,224.22/x
  3. Step 3: Cross multiply
    716,048.84x = 988,145.96 × 410,224.22
  4. Step 4: Simplify right side
    716,048.84x = 405,361,398,695.30
  5. Step 5: Solve for x
    x = 405,361,398,695.30/716,048.84
  6. Step 6: Final answer
    x = 566,108.59

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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.