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Finding the Fourth Proportional to 508,408.71, 701,666.24 and 293,548.42

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Solution

The fourth proportional to 508,408.71, 701,666.24 and 293,548.42 is: 405,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,408.71 : 701,666.24 = 293,548.42 : x
  2. Step 2: Convert to fraction form
    508,408.71/701,666.24 = 293,548.42/x
  3. Step 3: Cross multiply
    508,408.71x = 701,666.24 × 293,548.42
  4. Step 4: Simplify right side
    508,408.71x = 205,973,012,897.43
  5. Step 5: Solve for x
    x = 205,973,012,897.43/508,408.71
  6. Step 6: Final answer
    x = 405,132.74

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1.5x scale

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.