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Finding the Fourth Proportional to 587,237.29, 810,373.94 and 342,206.50

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Solution

The fourth proportional to 587,237.29, 810,373.94 and 342,206.50 is: 472,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,237.29 : 810,373.94 = 342,206.50 : x
  2. Step 2: Convert to fraction form
    587,237.29/810,373.94 = 342,206.50/x
  3. Step 3: Cross multiply
    587,237.29x = 810,373.94 × 342,206.50
  4. Step 4: Simplify right side
    587,237.29x = 277,315,227,447.65
  5. Step 5: Solve for x
    x = 277,315,227,447.65/587,237.29
  6. Step 6: Final answer
    x = 472,237.08

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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.