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Finding the Fourth Proportional to 541,218.32, 811,810.68 and 257,113.32

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Solution

The fourth proportional to 541,218.32, 811,810.68 and 257,113.32 is: 385,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,218.32 : 811,810.68 = 257,113.32 : x
  2. Step 2: Convert to fraction form
    541,218.32/811,810.68 = 257,113.32/x
  3. Step 3: Cross multiply
    541,218.32x = 811,810.68 × 257,113.32
  4. Step 4: Simplify right side
    541,218.32x = 208,727,339,146.26
  5. Step 5: Solve for x
    x = 208,727,339,146.26/541,218.32
  6. Step 6: Final answer
    x = 385,662.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.