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Finding the Fourth Proportional to 314,257.39, 471,430.36 and 100,953.78

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Solution

The fourth proportional to 314,257.39, 471,430.36 and 100,953.78 is: 151,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,257.39 : 471,430.36 = 100,953.78 : x
  2. Step 2: Convert to fraction form
    314,257.39/471,430.36 = 100,953.78/x
  3. Step 3: Cross multiply
    314,257.39x = 471,430.36 × 100,953.78
  4. Step 4: Simplify right side
    314,257.39x = 47,592,675,207.09
  5. Step 5: Solve for x
    x = 47,592,675,207.09/314,257.39
  6. Step 6: Final answer
    x = 151,444.89

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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.