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Finding the Fourth Proportional to 506,438.32, 698,856.61 and 276,950.32

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Solution

The fourth proportional to 506,438.32, 698,856.61 and 276,950.32 is: 382,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,438.32 : 698,856.61 = 276,950.32 : x
  2. Step 2: Convert to fraction form
    506,438.32/698,856.61 = 276,950.32/x
  3. Step 3: Cross multiply
    506,438.32x = 698,856.61 × 276,950.32
  4. Step 4: Simplify right side
    506,438.32x = 193,548,556,894.58
  5. Step 5: Solve for x
    x = 193,548,556,894.58/506,438.32
  6. Step 6: Final answer
    x = 382,175.98

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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.