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Finding the Fourth Proportional to 412,364.90, 578,140.30 and 412,364.90

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Solution

The fourth proportional to 412,364.90, 578,140.30 and 412,364.90 is: 578,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,364.90 : 578,140.30 = 412,364.90 : x
  2. Step 2: Convert to fraction form
    412,364.90/578,140.30 = 412,364.90/x
  3. Step 3: Cross multiply
    412,364.90x = 578,140.30 × 412,364.90
  4. Step 4: Simplify right side
    412,364.90x = 238,404,766,995.47
  5. Step 5: Solve for x
    x = 238,404,766,995.47/412,364.90
  6. Step 6: Final answer
    x = 578,140.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.