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Finding the Fourth Proportional to 256,698.64, 385,113.64 and 98,884.72

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Solution

The fourth proportional to 256,698.64, 385,113.64 and 98,884.72 is: 148,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,698.64 : 385,113.64 = 98,884.72 : x
  2. Step 2: Convert to fraction form
    256,698.64/385,113.64 = 98,884.72/x
  3. Step 3: Cross multiply
    256,698.64x = 385,113.64 × 98,884.72
  4. Step 4: Simplify right side
    256,698.64x = 38,081,854,459.58
  5. Step 5: Solve for x
    x = 38,081,854,459.58/256,698.64
  6. Step 6: Final answer
    x = 148,352.38

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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.