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Finding the Fourth Proportional to 584,924.76, 807,263.82 and 355,493.88

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Solution

The fourth proportional to 584,924.76, 807,263.82 and 355,493.88 is: 490,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,924.76 : 807,263.82 = 355,493.88 : x
  2. Step 2: Convert to fraction form
    584,924.76/807,263.82 = 355,493.88/x
  3. Step 3: Cross multiply
    584,924.76x = 807,263.82 × 355,493.88
  4. Step 4: Simplify right side
    584,924.76x = 286,977,347,555.42
  5. Step 5: Solve for x
    x = 286,977,347,555.42/584,924.76
  6. Step 6: Final answer
    x = 490,622.67

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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.