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Finding the Fourth Proportional to 712,186.16, 982,659.74 and 421,653.46

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Solution

The fourth proportional to 712,186.16, 982,659.74 and 421,653.46 is: 581,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,186.16 : 982,659.74 = 421,653.46 : x
  2. Step 2: Convert to fraction form
    712,186.16/982,659.74 = 421,653.46/x
  3. Step 3: Cross multiply
    712,186.16x = 982,659.74 × 421,653.46
  4. Step 4: Simplify right side
    712,186.16x = 414,341,879,373.70
  5. Step 5: Solve for x
    x = 414,341,879,373.70/712,186.16
  6. Step 6: Final answer
    x = 581,788.73

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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.