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Finding the Fourth Proportional to 1,429,692.69, 1,972,975.88 and 785,123.65

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Solution

The fourth proportional to 1,429,692.69, 1,972,975.88 and 785,123.65 is: 1,083,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,692.69 : 1,972,975.88 = 785,123.65 : x
  2. Step 2: Convert to fraction form
    1,429,692.69/1,972,975.88 = 785,123.65/x
  3. Step 3: Cross multiply
    1,429,692.69x = 1,972,975.88 × 785,123.65
  4. Step 4: Simplify right side
    1,429,692.69x = 1,549,030,024,267.56
  5. Step 5: Solve for x
    x = 1,549,030,024,267.56/1,429,692.69
  6. Step 6: Final answer
    x = 1,083,470.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.