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Finding the Fourth Proportional to 415,677.32, 573,585.95 and 234,378.45

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Solution

The fourth proportional to 415,677.32, 573,585.95 and 234,378.45 is: 323,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,677.32 : 573,585.95 = 234,378.45 : x
  2. Step 2: Convert to fraction form
    415,677.32/573,585.95 = 234,378.45/x
  3. Step 3: Cross multiply
    415,677.32x = 573,585.95 × 234,378.45
  4. Step 4: Simplify right side
    415,677.32x = 134,436,184,730.89
  5. Step 5: Solve for x
    x = 134,436,184,730.89/415,677.32
  6. Step 6: Final answer
    x = 323,414.77

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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.