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Finding the Fourth Proportional to 584,854, 875,285.02 and 490,191.06

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Solution

The fourth proportional to 584,854, 875,285.02 and 490,191.06 is: 733,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,854 : 875,285.02 = 490,191.06 : x
  2. Step 2: Convert to fraction form
    584,854/875,285.02 = 490,191.06/x
  3. Step 3: Cross multiply
    584,854x = 875,285.02 × 490,191.06
  4. Step 4: Simplify right side
    584,854x = 429,056,891,755.92
  5. Step 5: Solve for x
    x = 429,056,891,755.92/584,854
  6. Step 6: Final answer
    x = 733,613.67

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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.