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Finding the Fourth Proportional to 407,058.93, 609,591.92 and 286,820.37

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Solution

The fourth proportional to 407,058.93, 609,591.92 and 286,820.37 is: 429,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,058.93 : 609,591.92 = 286,820.37 : x
  2. Step 2: Convert to fraction form
    407,058.93/609,591.92 = 286,820.37/x
  3. Step 3: Cross multiply
    407,058.93x = 609,591.92 × 286,820.37
  4. Step 4: Simplify right side
    407,058.93x = 174,843,378,609.31
  5. Step 5: Solve for x
    x = 174,843,378,609.31/407,058.93
  6. Step 6: Final answer
    x = 429,528.42

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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.