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Finding the Fourth Proportional to 317,807.46, 476,305.74 and 148,955.28

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Solution

The fourth proportional to 317,807.46, 476,305.74 and 148,955.28 is: 223,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,807.46 : 476,305.74 = 148,955.28 : x
  2. Step 2: Convert to fraction form
    317,807.46/476,305.74 = 148,955.28/x
  3. Step 3: Cross multiply
    317,807.46x = 476,305.74 × 148,955.28
  4. Step 4: Simplify right side
    317,807.46x = 70,948,254,867.31
  5. Step 5: Solve for x
    x = 70,948,254,867.31/317,807.46
  6. Step 6: Final answer
    x = 223,242.89

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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.