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Finding the Fourth Proportional to 301,535.64, 452,305.02 and 176,789.16

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Solution

The fourth proportional to 301,535.64, 452,305.02 and 176,789.16 is: 265,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,535.64 : 452,305.02 = 176,789.16 : x
  2. Step 2: Convert to fraction form
    301,535.64/452,305.02 = 176,789.16/x
  3. Step 3: Cross multiply
    301,535.64x = 452,305.02 × 176,789.16
  4. Step 4: Simplify right side
    301,535.64x = 79,962,624,549.58
  5. Step 5: Solve for x
    x = 79,962,624,549.58/301,535.64
  6. Step 6: Final answer
    x = 265,184.65

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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.