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Finding the Fourth Proportional to 406,037.80, 608,538.30 and 312,077.80

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Solution

The fourth proportional to 406,037.80, 608,538.30 and 312,077.80 is: 467,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,037.80 : 608,538.30 = 312,077.80 : x
  2. Step 2: Convert to fraction form
    406,037.80/608,538.30 = 312,077.80/x
  3. Step 3: Cross multiply
    406,037.80x = 608,538.30 × 312,077.80
  4. Step 4: Simplify right side
    406,037.80x = 189,911,293,879.74
  5. Step 5: Solve for x
    x = 189,911,293,879.74/406,037.80
  6. Step 6: Final answer
    x = 467,718.26

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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.