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Finding the Fourth Proportional to 349,497, 523,577.63 and 292,932.98

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Solution

The fourth proportional to 349,497, 523,577.63 and 292,932.98 is: 438,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,497 : 523,577.63 = 292,932.98 : x
  2. Step 2: Convert to fraction form
    349,497/523,577.63 = 292,932.98/x
  3. Step 3: Cross multiply
    349,497x = 523,577.63 × 292,932.98
  4. Step 4: Simplify right side
    349,497x = 153,373,153,847.35
  5. Step 5: Solve for x
    x = 153,373,153,847.35/349,497
  6. Step 6: Final answer
    x = 438,839.69

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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.