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Finding the Fourth Proportional to 507,680.60, 700,152.05 and 314,057.52

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Solution

The fourth proportional to 507,680.60, 700,152.05 and 314,057.52 is: 433,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,680.60 : 700,152.05 = 314,057.52 : x
  2. Step 2: Convert to fraction form
    507,680.60/700,152.05 = 314,057.52/x
  3. Step 3: Cross multiply
    507,680.60x = 700,152.05 × 314,057.52
  4. Step 4: Simplify right side
    507,680.60x = 219,888,017,231.06
  5. Step 5: Solve for x
    x = 219,888,017,231.06/507,680.60
  6. Step 6: Final answer
    x = 433,122.75

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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.