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Finding the Fourth Proportional to 452,407.80, 678,333.06 and 152,860.08

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Solution

The fourth proportional to 452,407.80, 678,333.06 and 152,860.08 is: 229,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,407.80 : 678,333.06 = 152,860.08 : x
  2. Step 2: Convert to fraction form
    452,407.80/678,333.06 = 152,860.08/x
  3. Step 3: Cross multiply
    452,407.80x = 678,333.06 × 152,860.08
  4. Step 4: Simplify right side
    452,407.80x = 103,690,045,818.25
  5. Step 5: Solve for x
    x = 103,690,045,818.25/452,407.80
  6. Step 6: Final answer
    x = 229,195.97

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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.