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Finding the Fourth Proportional to 508,162.90, 701,254.32 and 314,519.24

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Solution

The fourth proportional to 508,162.90, 701,254.32 and 314,519.24 is: 434,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,162.90 : 701,254.32 = 314,519.24 : x
  2. Step 2: Convert to fraction form
    508,162.90/701,254.32 = 314,519.24/x
  3. Step 3: Cross multiply
    508,162.90x = 701,254.32 × 314,519.24
  4. Step 4: Simplify right side
    508,162.90x = 220,557,975,773.12
  5. Step 5: Solve for x
    x = 220,557,975,773.12/508,162.90
  6. Step 6: Final answer
    x = 434,030.06

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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.