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Finding the Fourth Proportional to 583,145.69, 805,011.21 and 411,203.75

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Solution

The fourth proportional to 583,145.69, 805,011.21 and 411,203.75 is: 567,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,145.69 : 805,011.21 = 411,203.75 : x
  2. Step 2: Convert to fraction form
    583,145.69/805,011.21 = 411,203.75/x
  3. Step 3: Cross multiply
    583,145.69x = 805,011.21 × 411,203.75
  4. Step 4: Simplify right side
    583,145.69x = 331,023,624,318.98
  5. Step 5: Solve for x
    x = 331,023,624,318.98/583,145.69
  6. Step 6: Final answer
    x = 567,651.67

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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.