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Finding the Fourth Proportional to 385,810.20, 578,628.90 and 253,618.20

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Solution

The fourth proportional to 385,810.20, 578,628.90 and 253,618.20 is: 380,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,810.20 : 578,628.90 = 253,618.20 : x
  2. Step 2: Convert to fraction form
    385,810.20/578,628.90 = 253,618.20/x
  3. Step 3: Cross multiply
    385,810.20x = 578,628.90 × 253,618.20
  4. Step 4: Simplify right side
    385,810.20x = 146,750,820,085.98
  5. Step 5: Solve for x
    x = 146,750,820,085.98/385,810.20
  6. Step 6: Final answer
    x = 380,370.50

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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.