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Finding the Fourth Proportional to 273,567, 409,509.66 and 233,210.68

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Solution

The fourth proportional to 273,567, 409,509.66 and 233,210.68 is: 349,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,567 : 409,509.66 = 233,210.68 : x
  2. Step 2: Convert to fraction form
    273,567/409,509.66 = 233,210.68/x
  3. Step 3: Cross multiply
    273,567x = 409,509.66 × 233,210.68
  4. Step 4: Simplify right side
    273,567x = 95,502,026,275.17
  5. Step 5: Solve for x
    x = 95,502,026,275.17/273,567
  6. Step 6: Final answer
    x = 349,099.22

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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.