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Finding the Fourth Proportional to 416,315.57, 574,525.94 and 255,259.40

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Solution

The fourth proportional to 416,315.57, 574,525.94 and 255,259.40 is: 352,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,315.57 : 574,525.94 = 255,259.40 : x
  2. Step 2: Convert to fraction form
    416,315.57/574,525.94 = 255,259.40/x
  3. Step 3: Cross multiply
    416,315.57x = 574,525.94 × 255,259.40
  4. Step 4: Simplify right side
    416,315.57x = 146,653,142,579.91
  5. Step 5: Solve for x
    x = 146,653,142,579.91/416,315.57
  6. Step 6: Final answer
    x = 352,264.38

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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.