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Finding the Fourth Proportional to 464,274.14, 696,411.43 and 306,465.71

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Solution

The fourth proportional to 464,274.14, 696,411.43 and 306,465.71 is: 459,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,274.14 : 696,411.43 = 306,465.71 : x
  2. Step 2: Convert to fraction form
    464,274.14/696,411.43 = 306,465.71/x
  3. Step 3: Cross multiply
    464,274.14x = 696,411.43 × 306,465.71
  4. Step 4: Simplify right side
    464,274.14x = 213,426,219,098.84
  5. Step 5: Solve for x
    x = 213,426,219,098.84/464,274.14
  6. Step 6: Final answer
    x = 459,698.71

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Similar ratio
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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.