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Finding the Fourth Proportional to 601,234.84, 829,693.02 and 346,596.76

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Solution

The fourth proportional to 601,234.84, 829,693.02 and 346,596.76 is: 478,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,234.84 : 829,693.02 = 346,596.76 : x
  2. Step 2: Convert to fraction form
    601,234.84/829,693.02 = 346,596.76/x
  3. Step 3: Cross multiply
    601,234.84x = 829,693.02 × 346,596.76
  4. Step 4: Simplify right side
    601,234.84x = 287,568,912,526.62
  5. Step 5: Solve for x
    x = 287,568,912,526.62/601,234.84
  6. Step 6: Final answer
    x = 478,297.15

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Double scale
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1.5x scale

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.