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Finding the Fourth Proportional to 466,374.60, 695,924.52 and 416,109.15

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Solution

The fourth proportional to 466,374.60, 695,924.52 and 416,109.15 is: 620,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,374.60 : 695,924.52 = 416,109.15 : x
  2. Step 2: Convert to fraction form
    466,374.60/695,924.52 = 416,109.15/x
  3. Step 3: Cross multiply
    466,374.60x = 695,924.52 × 416,109.15
  4. Step 4: Simplify right side
    466,374.60x = 289,580,558,920.95
  5. Step 5: Solve for x
    x = 289,580,558,920.95/466,374.60
  6. Step 6: Final answer
    x = 620,918.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.