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Finding the Fourth Proportional to 504,465.76, 696,486.96 and 313,738.72

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Solution

The fourth proportional to 504,465.76, 696,486.96 and 313,738.72 is: 433,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,465.76 : 696,486.96 = 313,738.72 : x
  2. Step 2: Convert to fraction form
    504,465.76/696,486.96 = 313,738.72/x
  3. Step 3: Cross multiply
    504,465.76x = 696,486.96 × 313,738.72
  4. Step 4: Simplify right side
    504,465.76x = 218,514,927,327.09
  5. Step 5: Solve for x
    x = 218,514,927,327.09/504,465.76
  6. Step 6: Final answer
    x = 433,161.07

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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.