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Finding the Fourth Proportional to 341,378.40, 471,098.16 and 188,417.76

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Solution

The fourth proportional to 341,378.40, 471,098.16 and 188,417.76 is: 260,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,378.40 : 471,098.16 = 188,417.76 : x
  2. Step 2: Convert to fraction form
    341,378.40/471,098.16 = 188,417.76/x
  3. Step 3: Cross multiply
    341,378.40x = 471,098.16 × 188,417.76
  4. Step 4: Simplify right side
    341,378.40x = 88,763,260,047.32
  5. Step 5: Solve for x
    x = 88,763,260,047.32/341,378.40
  6. Step 6: Final answer
    x = 260,014.28

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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.