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Finding the Fourth Proportional to 427,807, 642,341.26 and 238,636.92

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Solution

The fourth proportional to 427,807, 642,341.26 and 238,636.92 is: 358,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,807 : 642,341.26 = 238,636.92 : x
  2. Step 2: Convert to fraction form
    427,807/642,341.26 = 238,636.92/x
  3. Step 3: Cross multiply
    427,807x = 642,341.26 × 238,636.92
  4. Step 4: Simplify right side
    427,807x = 153,286,339,875.32
  5. Step 5: Solve for x
    x = 153,286,339,875.32/427,807
  6. Step 6: Final answer
    x = 358,307.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.