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Finding the Fourth Proportional to 596,309.12, 894,878.40 and 385,424

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Solution

The fourth proportional to 596,309.12, 894,878.40 and 385,424 is: 578,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,309.12 : 894,878.40 = 385,424 : x
  2. Step 2: Convert to fraction form
    596,309.12/894,878.40 = 385,424/x
  3. Step 3: Cross multiply
    596,309.12x = 894,878.40 × 385,424
  4. Step 4: Simplify right side
    596,309.12x = 344,907,612,441.60
  5. Step 5: Solve for x
    x = 344,907,612,441.60/596,309.12
  6. Step 6: Final answer
    x = 578,404.05

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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.