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Finding the Fourth Proportional to 576,962.44, 864,268.62 and 470,725

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Solution

The fourth proportional to 576,962.44, 864,268.62 and 470,725 is: 705,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,962.44 : 864,268.62 = 470,725 : x
  2. Step 2: Convert to fraction form
    576,962.44/864,268.62 = 470,725/x
  3. Step 3: Cross multiply
    576,962.44x = 864,268.62 × 470,725
  4. Step 4: Simplify right side
    576,962.44x = 406,832,846,149.50
  5. Step 5: Solve for x
    x = 406,832,846,149.50/576,962.44
  6. Step 6: Final answer
    x = 705,128.82

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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.