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Finding the Fourth Proportional to 470,897.10, 706,345.65 and 190,269.90

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Solution

The fourth proportional to 470,897.10, 706,345.65 and 190,269.90 is: 285,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.10 : 706,345.65 = 190,269.90 : x
  2. Step 2: Convert to fraction form
    470,897.10/706,345.65 = 190,269.90/x
  3. Step 3: Cross multiply
    470,897.10x = 706,345.65 × 190,269.90
  4. Step 4: Simplify right side
    470,897.10x = 134,396,316,190.94
  5. Step 5: Solve for x
    x = 134,396,316,190.94/470,897.10
  6. Step 6: Final answer
    x = 285,404.85

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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.