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Finding the Fourth Proportional to 421,065.76, 631,572.72 and 140,559.52

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Solution

The fourth proportional to 421,065.76, 631,572.72 and 140,559.52 is: 210,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,065.76 : 631,572.72 = 140,559.52 : x
  2. Step 2: Convert to fraction form
    421,065.76/631,572.72 = 140,559.52/x
  3. Step 3: Cross multiply
    421,065.76x = 631,572.72 × 140,559.52
  4. Step 4: Simplify right side
    421,065.76x = 88,773,558,368.29
  5. Step 5: Solve for x
    x = 88,773,558,368.29/421,065.76
  6. Step 6: Final answer
    x = 210,830.63

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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.