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Finding the Fourth Proportional to 282,858.60, 390,247.74 and 175,389.96

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Solution

The fourth proportional to 282,858.60, 390,247.74 and 175,389.96 is: 241,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,858.60 : 390,247.74 = 175,389.96 : x
  2. Step 2: Convert to fraction form
    282,858.60/390,247.74 = 175,389.96/x
  3. Step 3: Cross multiply
    282,858.60x = 390,247.74 × 175,389.96
  4. Step 4: Simplify right side
    282,858.60x = 68,445,535,508.69
  5. Step 5: Solve for x
    x = 68,445,535,508.69/282,858.60
  6. Step 6: Final answer
    x = 241,977.92

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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.