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Finding the Fourth Proportional to 416,701.17, 575,047.08 and 225,715.32

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Solution

The fourth proportional to 416,701.17, 575,047.08 and 225,715.32 is: 311,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,701.17 : 575,047.08 = 225,715.32 : x
  2. Step 2: Convert to fraction form
    416,701.17/575,047.08 = 225,715.32/x
  3. Step 3: Cross multiply
    416,701.17x = 575,047.08 × 225,715.32
  4. Step 4: Simplify right side
    416,701.17x = 129,796,935,677.27
  5. Step 5: Solve for x
    x = 129,796,935,677.27/416,701.17
  6. Step 6: Final answer
    x = 311,486.85

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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.