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Finding the Fourth Proportional to 471,106.08, 705,026.16 and 451,510.56

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Solution

The fourth proportional to 471,106.08, 705,026.16 and 451,510.56 is: 675,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,106.08 : 705,026.16 = 451,510.56 : x
  2. Step 2: Convert to fraction form
    471,106.08/705,026.16 = 451,510.56/x
  3. Step 3: Cross multiply
    471,106.08x = 705,026.16 × 451,510.56
  4. Step 4: Simplify right side
    471,106.08x = 318,326,756,316.25
  5. Step 5: Solve for x
    x = 318,326,756,316.25/471,106.08
  6. Step 6: Final answer
    x = 675,700.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.