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Finding the Fourth Proportional to 507,984.65, 701,026.88 and 278,562.81

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Solution

The fourth proportional to 507,984.65, 701,026.88 and 278,562.81 is: 384,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,984.65 : 701,026.88 = 278,562.81 : x
  2. Step 2: Convert to fraction form
    507,984.65/701,026.88 = 278,562.81/x
  3. Step 3: Cross multiply
    507,984.65x = 701,026.88 × 278,562.81
  4. Step 4: Simplify right side
    507,984.65x = 195,280,016,185.52
  5. Step 5: Solve for x
    x = 195,280,016,185.52/507,984.65
  6. Step 6: Final answer
    x = 384,421.10

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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.