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Finding the Fourth Proportional to 532,694.34, 735,090.05 and 290,973.47

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Solution

The fourth proportional to 532,694.34, 735,090.05 and 290,973.47 is: 401,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,694.34 : 735,090.05 = 290,973.47 : x
  2. Step 2: Convert to fraction form
    532,694.34/735,090.05 = 290,973.47/x
  3. Step 3: Cross multiply
    532,694.34x = 735,090.05 × 290,973.47
  4. Step 4: Simplify right side
    532,694.34x = 213,891,699,662.96
  5. Step 5: Solve for x
    x = 213,891,699,662.96/532,694.34
  6. Step 6: Final answer
    x = 401,528.01

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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.