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Finding the Fourth Proportional to 470,565.93, 705,879.61 and 344,583.21

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Solution

The fourth proportional to 470,565.93, 705,879.61 and 344,583.21 is: 516,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,565.93 : 705,879.61 = 344,583.21 : x
  2. Step 2: Convert to fraction form
    470,565.93/705,879.61 = 344,583.21/x
  3. Step 3: Cross multiply
    470,565.93x = 705,879.61 × 344,583.21
  4. Step 4: Simplify right side
    470,565.93x = 243,234,260,984.11
  5. Step 5: Solve for x
    x = 243,234,260,984.11/470,565.93
  6. Step 6: Final answer
    x = 516,897.31

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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.