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Finding the Fourth Proportional to 432,490.24, 591,649.72 and 430,668.63

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Solution

The fourth proportional to 432,490.24, 591,649.72 and 430,668.63 is: 589,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,490.24 : 591,649.72 = 430,668.63 : x
  2. Step 2: Convert to fraction form
    432,490.24/591,649.72 = 430,668.63/x
  3. Step 3: Cross multiply
    432,490.24x = 591,649.72 × 430,668.63
  4. Step 4: Simplify right side
    432,490.24x = 254,804,971,132.39
  5. Step 5: Solve for x
    x = 254,804,971,132.39/432,490.24
  6. Step 6: Final answer
    x = 589,157.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.