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Finding the Fourth Proportional to 514,047.07, 709,384.86 and 287,692.57

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Solution

The fourth proportional to 514,047.07, 709,384.86 and 287,692.57 is: 397,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,047.07 : 709,384.86 = 287,692.57 : x
  2. Step 2: Convert to fraction form
    514,047.07/709,384.86 = 287,692.57/x
  3. Step 3: Cross multiply
    514,047.07x = 709,384.86 × 287,692.57
  4. Step 4: Simplify right side
    514,047.07x = 204,084,753,492.49
  5. Step 5: Solve for x
    x = 204,084,753,492.49/514,047.07
  6. Step 6: Final answer
    x = 397,015.69

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1.5x scale

Why These Related Problems?

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