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Finding the Fourth Proportional to 433,412.76, 598,109.60 and 282,509.76

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Solution

The fourth proportional to 433,412.76, 598,109.60 and 282,509.76 is: 389,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,412.76 : 598,109.60 = 282,509.76 : x
  2. Step 2: Convert to fraction form
    433,412.76/598,109.60 = 282,509.76/x
  3. Step 3: Cross multiply
    433,412.76x = 598,109.60 × 282,509.76
  4. Step 4: Simplify right side
    433,412.76x = 168,971,799,549.70
  5. Step 5: Solve for x
    x = 168,971,799,549.70/433,412.76
  6. Step 6: Final answer
    x = 389,863.46

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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.