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Finding the Fourth Proportional to 416,856.63, 575,262.25 and 225,870.02

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Solution

The fourth proportional to 416,856.63, 575,262.25 and 225,870.02 is: 311,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,856.63 : 575,262.25 = 225,870.02 : x
  2. Step 2: Convert to fraction form
    416,856.63/575,262.25 = 225,870.02/x
  3. Step 3: Cross multiply
    416,856.63x = 575,262.25 × 225,870.02
  4. Step 4: Simplify right side
    416,856.63x = 129,934,495,899.51
  5. Step 5: Solve for x
    x = 129,934,495,899.51/416,856.63
  6. Step 6: Final answer
    x = 311,700.68

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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.