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Finding the Fourth Proportional to 559,638.41, 772,206.45 and 314,590.56

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Solution

The fourth proportional to 559,638.41, 772,206.45 and 314,590.56 is: 434,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,638.41 : 772,206.45 = 314,590.56 : x
  2. Step 2: Convert to fraction form
    559,638.41/772,206.45 = 314,590.56/x
  3. Step 3: Cross multiply
    559,638.41x = 772,206.45 × 314,590.56
  4. Step 4: Simplify right side
    559,638.41x = 242,928,855,465.62
  5. Step 5: Solve for x
    x = 242,928,855,465.62/559,638.41
  6. Step 6: Final answer
    x = 434,081.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.