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Finding the Fourth Proportional to 532,189, 734,421.78 and 293,725

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Solution

The fourth proportional to 532,189, 734,421.78 and 293,725 is: 405,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,189 : 734,421.78 = 293,725 : x
  2. Step 2: Convert to fraction form
    532,189/734,421.78 = 293,725/x
  3. Step 3: Cross multiply
    532,189x = 734,421.78 × 293,725
  4. Step 4: Simplify right side
    532,189x = 215,718,037,330.50
  5. Step 5: Solve for x
    x = 215,718,037,330.50/532,189
  6. Step 6: Final answer
    x = 405,341.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.