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Finding the Fourth Proportional to 370,064.48, 510,692.72 and 200,302.24

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Solution

The fourth proportional to 370,064.48, 510,692.72 and 200,302.24 is: 276,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,064.48 : 510,692.72 = 200,302.24 : x
  2. Step 2: Convert to fraction form
    370,064.48/510,692.72 = 200,302.24/x
  3. Step 3: Cross multiply
    370,064.48x = 510,692.72 × 200,302.24
  4. Step 4: Simplify right side
    370,064.48x = 102,292,895,767.69
  5. Step 5: Solve for x
    x = 102,292,895,767.69/370,064.48
  6. Step 6: Final answer
    x = 276,419.11

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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.