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Finding the Fourth Proportional to 403,312.68, 604,595.16 and 178,553.34

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Solution

The fourth proportional to 403,312.68, 604,595.16 and 178,553.34 is: 267,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,312.68 : 604,595.16 = 178,553.34 : x
  2. Step 2: Convert to fraction form
    403,312.68/604,595.16 = 178,553.34/x
  3. Step 3: Cross multiply
    403,312.68x = 604,595.16 × 178,553.34
  4. Step 4: Simplify right side
    403,312.68x = 107,952,485,165.83
  5. Step 5: Solve for x
    x = 107,952,485,165.83/403,312.68
  6. Step 6: Final answer
    x = 267,664.50

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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.