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Finding the Fourth Proportional to 416,746.42, 575,109.54 and 225,760.60

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Solution

The fourth proportional to 416,746.42, 575,109.54 and 225,760.60 is: 311,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,746.42 : 575,109.54 = 225,760.60 : x
  2. Step 2: Convert to fraction form
    416,746.42/575,109.54 = 225,760.60/x
  3. Step 3: Cross multiply
    416,746.42x = 575,109.54 × 225,760.60
  4. Step 4: Simplify right side
    416,746.42x = 129,837,074,816.12
  5. Step 5: Solve for x
    x = 129,837,074,816.12/416,746.42
  6. Step 6: Final answer
    x = 311,549.35

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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.