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Finding the Fourth Proportional to 416,856.15, 575,262 and 225,869.40

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Solution

The fourth proportional to 416,856.15, 575,262 and 225,869.40 is: 311,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,856.15 : 575,262 = 225,869.40 : x
  2. Step 2: Convert to fraction form
    416,856.15/575,262 = 225,869.40/x
  3. Step 3: Cross multiply
    416,856.15x = 575,262 × 225,869.40
  4. Step 4: Simplify right side
    416,856.15x = 129,934,082,782.80
  5. Step 5: Solve for x
    x = 129,934,082,782.80/416,856.15
  6. Step 6: Final answer
    x = 311,700.05

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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.