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Finding the Fourth Proportional to 614,719.80, 922,770.90 and 475,097.40

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Solution

The fourth proportional to 614,719.80, 922,770.90 and 475,097.40 is: 713,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,719.80 : 922,770.90 = 475,097.40 : x
  2. Step 2: Convert to fraction form
    614,719.80/922,770.90 = 475,097.40/x
  3. Step 3: Cross multiply
    614,719.80x = 922,770.90 × 475,097.40
  4. Step 4: Simplify right side
    614,719.80x = 438,406,055,385.66
  5. Step 5: Solve for x
    x = 438,406,055,385.66/614,719.80
  6. Step 6: Final answer
    x = 713,180.31

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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.