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Finding the Fourth Proportional to 510,957.05, 705,086.98 and 306,886.71

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Solution

The fourth proportional to 510,957.05, 705,086.98 and 306,886.71 is: 423,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,957.05 : 705,086.98 = 306,886.71 : x
  2. Step 2: Convert to fraction form
    510,957.05/705,086.98 = 306,886.71/x
  3. Step 3: Cross multiply
    510,957.05x = 705,086.98 × 306,886.71
  4. Step 4: Simplify right side
    510,957.05x = 216,381,822,788.82
  5. Step 5: Solve for x
    x = 216,381,822,788.82/510,957.05
  6. Step 6: Final answer
    x = 423,483.39

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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.