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Finding the Fourth Proportional to 314,920.52, 434,459.47 and 185,807.75

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Solution

The fourth proportional to 314,920.52, 434,459.47 and 185,807.75 is: 256,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,920.52 : 434,459.47 = 185,807.75 : x
  2. Step 2: Convert to fraction form
    314,920.52/434,459.47 = 185,807.75/x
  3. Step 3: Cross multiply
    314,920.52x = 434,459.47 × 185,807.75
  4. Step 4: Simplify right side
    314,920.52x = 80,725,936,586.89
  5. Step 5: Solve for x
    x = 80,725,936,586.89/314,920.52
  6. Step 6: Final answer
    x = 256,337.49

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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.