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Finding the Fourth Proportional to 416,294.94, 574,487.01 and 225,308.34

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Solution

The fourth proportional to 416,294.94, 574,487.01 and 225,308.34 is: 310,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,294.94 : 574,487.01 = 225,308.34 : x
  2. Step 2: Convert to fraction form
    416,294.94/574,487.01 = 225,308.34/x
  3. Step 3: Cross multiply
    416,294.94x = 574,487.01 × 225,308.34
  4. Step 4: Simplify right side
    416,294.94x = 129,436,714,574.66
  5. Step 5: Solve for x
    x = 129,436,714,574.66/416,294.94
  6. Step 6: Final answer
    x = 310,925.50

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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.