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Finding the Fourth Proportional to 282,314.78, 423,472.44 and 232,289.72

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Solution

The fourth proportional to 282,314.78, 423,472.44 and 232,289.72 is: 348,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,314.78 : 423,472.44 = 232,289.72 : x
  2. Step 2: Convert to fraction form
    282,314.78/423,472.44 = 232,289.72/x
  3. Step 3: Cross multiply
    282,314.78x = 423,472.44 × 232,289.72
  4. Step 4: Simplify right side
    282,314.78x = 98,368,291,236.51
  5. Step 5: Solve for x
    x = 98,368,291,236.51/282,314.78
  6. Step 6: Final answer
    x = 348,434.80

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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.