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Finding the Fourth Proportional to 508,698.10, 702,036.57 and 293,847.22

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Solution

The fourth proportional to 508,698.10, 702,036.57 and 293,847.22 is: 405,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,698.10 : 702,036.57 = 293,847.22 : x
  2. Step 2: Convert to fraction form
    508,698.10/702,036.57 = 293,847.22/x
  3. Step 3: Cross multiply
    508,698.10x = 702,036.57 × 293,847.22
  4. Step 4: Simplify right side
    508,698.10x = 206,291,494,432.84
  5. Step 5: Solve for x
    x = 206,291,494,432.84/508,698.10
  6. Step 6: Final answer
    x = 405,528.34

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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.