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Finding the Fourth Proportional to 370,175.04, 510,841.71 and 200,409.12

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Solution

The fourth proportional to 370,175.04, 510,841.71 and 200,409.12 is: 276,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,175.04 : 510,841.71 = 200,409.12 : x
  2. Step 2: Convert to fraction form
    370,175.04/510,841.71 = 200,409.12/x
  3. Step 3: Cross multiply
    370,175.04x = 510,841.71 × 200,409.12
  4. Step 4: Simplify right side
    370,175.04x = 102,377,337,560.40
  5. Step 5: Solve for x
    x = 102,377,337,560.40/370,175.04
  6. Step 6: Final answer
    x = 276,564.67

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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.