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Finding the Fourth Proportional to 413,600.51, 570,734.60 and 229,844.50

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Solution

The fourth proportional to 413,600.51, 570,734.60 and 229,844.50 is: 317,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,600.51 : 570,734.60 = 229,844.50 : x
  2. Step 2: Convert to fraction form
    413,600.51/570,734.60 = 229,844.50/x
  3. Step 3: Cross multiply
    413,600.51x = 570,734.60 × 229,844.50
  4. Step 4: Simplify right side
    413,600.51x = 131,180,206,193.64
  5. Step 5: Solve for x
    x = 131,180,206,193.64/413,600.51
  6. Step 6: Final answer
    x = 317,166.45

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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.