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Finding the Fourth Proportional to 256,322.40, 384,368.40 and 98,498.40

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Solution

The fourth proportional to 256,322.40, 384,368.40 and 98,498.40 is: 147,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,322.40 : 384,368.40 = 98,498.40 : x
  2. Step 2: Convert to fraction form
    256,322.40/384,368.40 = 98,498.40/x
  3. Step 3: Cross multiply
    256,322.40x = 384,368.40 × 98,498.40
  4. Step 4: Simplify right side
    256,322.40x = 37,859,672,410.56
  5. Step 5: Solve for x
    x = 37,859,672,410.56/256,322.40
  6. Step 6: Final answer
    x = 147,703.33

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1.5x scale

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.