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Finding the Fourth Proportional to 423,035.12, 634,611 and 142,632.56

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Solution

The fourth proportional to 423,035.12, 634,611 and 142,632.56 is: 213,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,035.12 : 634,611 = 142,632.56 : x
  2. Step 2: Convert to fraction form
    423,035.12/634,611 = 142,632.56/x
  3. Step 3: Cross multiply
    423,035.12x = 634,611 × 142,632.56
  4. Step 4: Simplify right side
    423,035.12x = 90,516,191,534.16
  5. Step 5: Solve for x
    x = 90,516,191,534.16/423,035.12
  6. Step 6: Final answer
    x = 213,968.50

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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.