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Finding the Fourth Proportional to 532,867.78, 735,368.16 and 291,165.40

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Solution

The fourth proportional to 532,867.78, 735,368.16 and 291,165.40 is: 401,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,867.78 : 735,368.16 = 291,165.40 : x
  2. Step 2: Convert to fraction form
    532,867.78/735,368.16 = 291,165.40/x
  3. Step 3: Cross multiply
    532,867.78x = 735,368.16 × 291,165.40
  4. Step 4: Simplify right side
    532,867.78x = 214,113,764,453.66
  5. Step 5: Solve for x
    x = 214,113,764,453.66/532,867.78
  6. Step 6: Final answer
    x = 401,814.06

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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.