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Finding the Fourth Proportional to 532,090.58, 734,308.86 and 299,597.52

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Solution

The fourth proportional to 532,090.58, 734,308.86 and 299,597.52 is: 413,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,090.58 : 734,308.86 = 299,597.52 : x
  2. Step 2: Convert to fraction form
    532,090.58/734,308.86 = 299,597.52/x
  3. Step 3: Cross multiply
    532,090.58x = 734,308.86 × 299,597.52
  4. Step 4: Simplify right side
    532,090.58x = 219,997,113,370.03
  5. Step 5: Solve for x
    x = 219,997,113,370.03/532,090.58
  6. Step 6: Final answer
    x = 413,458.01

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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.