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Finding the Fourth Proportional to 452,458.64, 678,575.80 and 152,932.60

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Solution

The fourth proportional to 452,458.64, 678,575.80 and 152,932.60 is: 229,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,458.64 : 678,575.80 = 152,932.60 : x
  2. Step 2: Convert to fraction form
    452,458.64/678,575.80 = 152,932.60/x
  3. Step 3: Cross multiply
    452,458.64x = 678,575.80 × 152,932.60
  4. Step 4: Simplify right side
    452,458.64x = 103,776,361,391.08
  5. Step 5: Solve for x
    x = 103,776,361,391.08/452,458.64
  6. Step 6: Final answer
    x = 229,360.99

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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.