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Finding the Fourth Proportional to 475,011.09, 711,385.88 and 274,909.77

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Solution

The fourth proportional to 475,011.09, 711,385.88 and 274,909.77 is: 411,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,011.09 : 711,385.88 = 274,909.77 : x
  2. Step 2: Convert to fraction form
    475,011.09/711,385.88 = 274,909.77/x
  3. Step 3: Cross multiply
    475,011.09x = 711,385.88 × 274,909.77
  4. Step 4: Simplify right side
    475,011.09x = 195,566,927,277.50
  5. Step 5: Solve for x
    x = 195,566,927,277.50/475,011.09
  6. Step 6: Final answer
    x = 411,710.23

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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.