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Finding the Fourth Proportional to 416,152.51, 574,228.89 and 252,724.03

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Solution

The fourth proportional to 416,152.51, 574,228.89 and 252,724.03 is: 348,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,152.51 : 574,228.89 = 252,724.03 : x
  2. Step 2: Convert to fraction form
    416,152.51/574,228.89 = 252,724.03/x
  3. Step 3: Cross multiply
    416,152.51x = 574,228.89 × 252,724.03
  4. Step 4: Simplify right side
    416,152.51x = 145,121,437,787.65
  5. Step 5: Solve for x
    x = 145,121,437,787.65/416,152.51
  6. Step 6: Final answer
    x = 348,721.77

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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.