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Finding the Fourth Proportional to 598,326.08, 825,692.64 and 326,400.16

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Solution

The fourth proportional to 598,326.08, 825,692.64 and 326,400.16 is: 450,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,326.08 : 825,692.64 = 326,400.16 : x
  2. Step 2: Convert to fraction form
    598,326.08/825,692.64 = 326,400.16/x
  3. Step 3: Cross multiply
    598,326.08x = 825,692.64 × 326,400.16
  4. Step 4: Simplify right side
    598,326.08x = 269,506,209,806.82
  5. Step 5: Solve for x
    x = 269,506,209,806.82/598,326.08
  6. Step 6: Final answer
    x = 450,433.67

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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.