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Finding the Fourth Proportional to 526,656.40, 788,648.10 and 289,731.40

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Solution

The fourth proportional to 526,656.40, 788,648.10 and 289,731.40 is: 433,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,656.40 : 788,648.10 = 289,731.40 : x
  2. Step 2: Convert to fraction form
    526,656.40/788,648.10 = 289,731.40/x
  3. Step 3: Cross multiply
    526,656.40x = 788,648.10 × 289,731.40
  4. Step 4: Simplify right side
    526,656.40x = 228,496,118,120.34
  5. Step 5: Solve for x
    x = 228,496,118,120.34/526,656.40
  6. Step 6: Final answer
    x = 433,861.85

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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.