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Finding the Fourth Proportional to 507,412.89, 700,230.09 and 277,978.52

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Solution

The fourth proportional to 507,412.89, 700,230.09 and 277,978.52 is: 383,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,412.89 : 700,230.09 = 277,978.52 : x
  2. Step 2: Convert to fraction form
    507,412.89/700,230.09 = 277,978.52/x
  3. Step 3: Cross multiply
    507,412.89x = 700,230.09 × 277,978.52
  4. Step 4: Simplify right side
    507,412.89x = 194,648,920,576.52
  5. Step 5: Solve for x
    x = 194,648,920,576.52/507,412.89
  6. Step 6: Final answer
    x = 383,610.52

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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.