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Finding the Fourth Proportional to 617,932, 926,903.68 and 243,955

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Solution

The fourth proportional to 617,932, 926,903.68 and 243,955 is: 365,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,932 : 926,903.68 = 243,955 : x
  2. Step 2: Convert to fraction form
    617,932/926,903.68 = 243,955/x
  3. Step 3: Cross multiply
    617,932x = 926,903.68 × 243,955
  4. Step 4: Simplify right side
    617,932x = 226,122,787,254.40
  5. Step 5: Solve for x
    x = 226,122,787,254.40/617,932
  6. Step 6: Final answer
    x = 365,934.74

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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.