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Finding the Fourth Proportional to 291,558.66, 402,363.44 and 162,497.12

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Solution

The fourth proportional to 291,558.66, 402,363.44 and 162,497.12 is: 224,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,558.66 : 402,363.44 = 162,497.12 : x
  2. Step 2: Convert to fraction form
    291,558.66/402,363.44 = 162,497.12/x
  3. Step 3: Cross multiply
    291,558.66x = 402,363.44 × 162,497.12
  4. Step 4: Simplify right side
    291,558.66x = 65,382,897,368.99
  5. Step 5: Solve for x
    x = 65,382,897,368.99/291,558.66
  6. Step 6: Final answer
    x = 224,252.98

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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.