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Finding the Fourth Proportional to 561,170.90, 774,186.57 and 414,347.63

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Solution

The fourth proportional to 561,170.90, 774,186.57 and 414,347.63 is: 571,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,170.90 : 774,186.57 = 414,347.63 : x
  2. Step 2: Convert to fraction form
    561,170.90/774,186.57 = 414,347.63/x
  3. Step 3: Cross multiply
    561,170.90x = 774,186.57 × 414,347.63
  4. Step 4: Simplify right side
    561,170.90x = 320,782,370,457.33
  5. Step 5: Solve for x
    x = 320,782,370,457.33/561,170.90
  6. Step 6: Final answer
    x = 571,630.45

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Double scale
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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.