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Finding the Fourth Proportional to 531,830.80, 797,819.10 and 176,807.80

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Solution

The fourth proportional to 531,830.80, 797,819.10 and 176,807.80 is: 265,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,830.80 : 797,819.10 = 176,807.80 : x
  2. Step 2: Convert to fraction form
    531,830.80/797,819.10 = 176,807.80/x
  3. Step 3: Cross multiply
    531,830.80x = 797,819.10 × 176,807.80
  4. Step 4: Simplify right side
    531,830.80x = 141,060,639,868.98
  5. Step 5: Solve for x
    x = 141,060,639,868.98/531,830.80
  6. Step 6: Final answer
    x = 265,235.94

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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.