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Finding the Fourth Proportional to 470,565.37, 705,878.77 and 344,582.65

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Solution

The fourth proportional to 470,565.37, 705,878.77 and 344,582.65 is: 516,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,565.37 : 705,878.77 = 344,582.65 : x
  2. Step 2: Convert to fraction form
    470,565.37/705,878.77 = 344,582.65/x
  3. Step 3: Cross multiply
    470,565.37x = 705,878.77 × 344,582.65
  4. Step 4: Simplify right side
    470,565.37x = 243,233,572,754.49
  5. Step 5: Solve for x
    x = 243,233,572,754.49/470,565.37
  6. Step 6: Final answer
    x = 516,896.46

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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.