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Finding the Fourth Proportional to 314,633.80, 471,950.70 and 283,529.80

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Solution

The fourth proportional to 314,633.80, 471,950.70 and 283,529.80 is: 425,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,633.80 : 471,950.70 = 283,529.80 : x
  2. Step 2: Convert to fraction form
    314,633.80/471,950.70 = 283,529.80/x
  3. Step 3: Cross multiply
    314,633.80x = 471,950.70 × 283,529.80
  4. Step 4: Simplify right side
    314,633.80x = 133,812,087,580.86
  5. Step 5: Solve for x
    x = 133,812,087,580.86/314,633.80
  6. Step 6: Final answer
    x = 425,294.70

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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.