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Finding the Fourth Proportional to 576,722.30, 864,046.65 and 470,968.70

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Solution

The fourth proportional to 576,722.30, 864,046.65 and 470,968.70 is: 705,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,722.30 : 864,046.65 = 470,968.70 : x
  2. Step 2: Convert to fraction form
    576,722.30/864,046.65 = 470,968.70/x
  3. Step 3: Cross multiply
    576,722.30x = 864,046.65 × 470,968.70
  4. Step 4: Simplify right side
    576,722.30x = 406,938,927,489.86
  5. Step 5: Solve for x
    x = 406,938,927,489.86/576,722.30
  6. Step 6: Final answer
    x = 705,606.37

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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.