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Finding the Fourth Proportional to 533,309.58, 735,967.29 and 291,592.32

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Solution

The fourth proportional to 533,309.58, 735,967.29 and 291,592.32 is: 402,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,309.58 : 735,967.29 = 291,592.32 : x
  2. Step 2: Convert to fraction form
    533,309.58/735,967.29 = 291,592.32/x
  3. Step 3: Cross multiply
    533,309.58x = 735,967.29 × 291,592.32
  4. Step 4: Simplify right side
    533,309.58x = 214,602,409,535.21
  5. Step 5: Solve for x
    x = 214,602,409,535.21/533,309.58
  6. Step 6: Final answer
    x = 402,397.44

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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.