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Finding the Fourth Proportional to 475,642.66, 656,417.27 and 314,214.72

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Solution

The fourth proportional to 475,642.66, 656,417.27 and 314,214.72 is: 433,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,642.66 : 656,417.27 = 314,214.72 : x
  2. Step 2: Convert to fraction form
    475,642.66/656,417.27 = 314,214.72/x
  3. Step 3: Cross multiply
    475,642.66x = 656,417.27 × 314,214.72
  4. Step 4: Simplify right side
    475,642.66x = 206,255,967,125.14
  5. Step 5: Solve for x
    x = 206,255,967,125.14/475,642.66
  6. Step 6: Final answer
    x = 433,636.39

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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.