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Finding the Fourth Proportional to 462,552.93, 693,904.12 and 142,630.07

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Solution

The fourth proportional to 462,552.93, 693,904.12 and 142,630.07 is: 213,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,552.93 : 693,904.12 = 142,630.07 : x
  2. Step 2: Convert to fraction form
    462,552.93/693,904.12 = 142,630.07/x
  3. Step 3: Cross multiply
    462,552.93x = 693,904.12 × 142,630.07
  4. Step 4: Simplify right side
    462,552.93x = 98,971,589,382.79
  5. Step 5: Solve for x
    x = 98,971,589,382.79/462,552.93
  6. Step 6: Final answer
    x = 213,968.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.