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Finding the Fourth Proportional to 301,211.84, 415,948.80 and 193,970.24

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Solution

The fourth proportional to 301,211.84, 415,948.80 and 193,970.24 is: 267,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,211.84 : 415,948.80 = 193,970.24 : x
  2. Step 2: Convert to fraction form
    301,211.84/415,948.80 = 193,970.24/x
  3. Step 3: Cross multiply
    301,211.84x = 415,948.80 × 193,970.24
  4. Step 4: Simplify right side
    301,211.84x = 80,681,688,563.71
  5. Step 5: Solve for x
    x = 80,681,688,563.71/301,211.84
  6. Step 6: Final answer
    x = 267,856.96

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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.