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Finding the Fourth Proportional to 1,429,692.69, 1,972,975.89 and 785,123.64

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Solution

The fourth proportional to 1,429,692.69, 1,972,975.89 and 785,123.64 is: 1,083,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,692.69 : 1,972,975.89 = 785,123.64 : x
  2. Step 2: Convert to fraction form
    1,429,692.69/1,972,975.89 = 785,123.64/x
  3. Step 3: Cross multiply
    1,429,692.69x = 1,972,975.89 × 785,123.64
  4. Step 4: Simplify right side
    1,429,692.69x = 1,549,030,012,389.04
  5. Step 5: Solve for x
    x = 1,549,030,012,389.04/1,429,692.69
  6. Step 6: Final answer
    x = 1,083,470.61

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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.