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Finding the Fourth Proportional to 416,714.59, 575,065.56 and 225,728.74

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Solution

The fourth proportional to 416,714.59, 575,065.56 and 225,728.74 is: 311,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,714.59 : 575,065.56 = 225,728.74 : x
  2. Step 2: Convert to fraction form
    416,714.59/575,065.56 = 225,728.74/x
  3. Step 3: Cross multiply
    416,714.59x = 575,065.56 × 225,728.74
  4. Step 4: Simplify right side
    416,714.59x = 129,808,824,276.19
  5. Step 5: Solve for x
    x = 129,808,824,276.19/416,714.59
  6. Step 6: Final answer
    x = 311,505.35

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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.