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Finding the Fourth Proportional to 526,047.68, 789,270.24 and 315,832.16

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Solution

The fourth proportional to 526,047.68, 789,270.24 and 315,832.16 is: 473,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,047.68 : 789,270.24 = 315,832.16 : x
  2. Step 2: Convert to fraction form
    526,047.68/789,270.24 = 315,832.16/x
  3. Step 3: Cross multiply
    526,047.68x = 789,270.24 × 315,832.16
  4. Step 4: Simplify right side
    526,047.68x = 249,276,924,722.92
  5. Step 5: Solve for x
    x = 249,276,924,722.92/526,047.68
  6. Step 6: Final answer
    x = 473,867.55

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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.