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Finding the Fourth Proportional to 500,692.80, 750,071.40 and 278,402.88

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Solution

The fourth proportional to 500,692.80, 750,071.40 and 278,402.88 is: 417,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,692.80 : 750,071.40 = 278,402.88 : x
  2. Step 2: Convert to fraction form
    500,692.80/750,071.40 = 278,402.88/x
  3. Step 3: Cross multiply
    500,692.80x = 750,071.40 × 278,402.88
  4. Step 4: Simplify right side
    500,692.80x = 208,822,037,965.63
  5. Step 5: Solve for x
    x = 208,822,037,965.63/500,692.80
  6. Step 6: Final answer
    x = 417,066.19

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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.