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Finding the Fourth Proportional to 462,157.14, 639,194.40 and 414,393.06

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Solution

The fourth proportional to 462,157.14, 639,194.40 and 414,393.06 is: 573,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,157.14 : 639,194.40 = 414,393.06 : x
  2. Step 2: Convert to fraction form
    462,157.14/639,194.40 = 414,393.06/x
  3. Step 3: Cross multiply
    462,157.14x = 639,194.40 × 414,393.06
  4. Step 4: Simplify right side
    462,157.14x = 264,877,723,350.86
  5. Step 5: Solve for x
    x = 264,877,723,350.86/462,157.14
  6. Step 6: Final answer
    x = 573,133.47

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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.