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Finding the Fourth Proportional to 532,856.64, 735,333.48 and 291,134.01

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Solution

The fourth proportional to 532,856.64, 735,333.48 and 291,134.01 is: 401,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,856.64 : 735,333.48 = 291,134.01 : x
  2. Step 2: Convert to fraction form
    532,856.64/735,333.48 = 291,134.01/x
  3. Step 3: Cross multiply
    532,856.64x = 735,333.48 × 291,134.01
  4. Step 4: Simplify right side
    532,856.64x = 214,080,584,719.66
  5. Step 5: Solve for x
    x = 214,080,584,719.66/532,856.64
  6. Step 6: Final answer
    x = 401,760.19

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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.