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Finding the Fourth Proportional to 519,590.25, 779,397.15 and 413,047.81

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Solution

The fourth proportional to 519,590.25, 779,397.15 and 413,047.81 is: 619,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,590.25 : 779,397.15 = 413,047.81 : x
  2. Step 2: Convert to fraction form
    519,590.25/779,397.15 = 413,047.81/x
  3. Step 3: Cross multiply
    519,590.25x = 779,397.15 × 413,047.81
  4. Step 4: Simplify right side
    519,590.25x = 321,928,285,927.74
  5. Step 5: Solve for x
    x = 321,928,285,927.74/519,590.25
  6. Step 6: Final answer
    x = 619,581.08

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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.