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Finding the Fourth Proportional to 349,535, 523,174.70 and 180,822.98

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Solution

The fourth proportional to 349,535, 523,174.70 and 180,822.98 is: 270,651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,535 : 523,174.70 = 180,822.98 : x
  2. Step 2: Convert to fraction form
    349,535/523,174.70 = 180,822.98/x
  3. Step 3: Cross multiply
    349,535x = 523,174.70 × 180,822.98
  4. Step 4: Simplify right side
    349,535x = 94,602,008,314.61
  5. Step 5: Solve for x
    x = 94,602,008,314.61/349,535
  6. Step 6: Final answer
    x = 270,651.03

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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.