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Finding the Fourth Proportional to 533,053.05, 735,613.25 and 291,335.63

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Solution

The fourth proportional to 533,053.05, 735,613.25 and 291,335.63 is: 402,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,053.05 : 735,613.25 = 291,335.63 : x
  2. Step 2: Convert to fraction form
    533,053.05/735,613.25 = 291,335.63/x
  3. Step 3: Cross multiply
    533,053.05x = 735,613.25 × 291,335.63
  4. Step 4: Simplify right side
    533,053.05x = 214,310,344,490.35
  5. Step 5: Solve for x
    x = 214,310,344,490.35/533,053.05
  6. Step 6: Final answer
    x = 402,043.18

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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.