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Finding the Fourth Proportional to 416,972.56, 575,423.13 and 225,985.90

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Solution

The fourth proportional to 416,972.56, 575,423.13 and 225,985.90 is: 311,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,972.56 : 575,423.13 = 225,985.90 : x
  2. Step 2: Convert to fraction form
    416,972.56/575,423.13 = 225,985.90/x
  3. Step 3: Cross multiply
    416,972.56x = 575,423.13 × 225,985.90
  4. Step 4: Simplify right side
    416,972.56x = 130,037,513,913.87
  5. Step 5: Solve for x
    x = 130,037,513,913.87/416,972.56
  6. Step 6: Final answer
    x = 311,861.08

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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.