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Finding the Fourth Proportional to 613,847.16, 847,239.80 and 412,526.52

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Solution

The fourth proportional to 613,847.16, 847,239.80 and 412,526.52 is: 569,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,847.16 : 847,239.80 = 412,526.52 : x
  2. Step 2: Convert to fraction form
    613,847.16/847,239.80 = 412,526.52/x
  3. Step 3: Cross multiply
    613,847.16x = 847,239.80 × 412,526.52
  4. Step 4: Simplify right side
    613,847.16x = 349,508,886,299.50
  5. Step 5: Solve for x
    x = 349,508,886,299.50/613,847.16
  6. Step 6: Final answer
    x = 569,374.45

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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.