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Finding the Fourth Proportional to 532,189.98, 734,416.17 and 302,741.88

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Solution

The fourth proportional to 532,189.98, 734,416.17 and 302,741.88 is: 417,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,189.98 : 734,416.17 = 302,741.88 : x
  2. Step 2: Convert to fraction form
    532,189.98/734,416.17 = 302,741.88/x
  3. Step 3: Cross multiply
    532,189.98x = 734,416.17 × 302,741.88
  4. Step 4: Simplify right side
    532,189.98x = 222,338,532,008.20
  5. Step 5: Solve for x
    x = 222,338,532,008.20/532,189.98
  6. Step 6: Final answer
    x = 417,780.38

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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.