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Finding the Fourth Proportional to 407,854.80, 610,797.74 and 245,281.32

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Solution

The fourth proportional to 407,854.80, 610,797.74 and 245,281.32 is: 367,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,854.80 : 610,797.74 = 245,281.32 : x
  2. Step 2: Convert to fraction form
    407,854.80/610,797.74 = 245,281.32/x
  3. Step 3: Cross multiply
    407,854.80x = 610,797.74 × 245,281.32
  4. Step 4: Simplify right side
    407,854.80x = 149,817,274,693.81
  5. Step 5: Solve for x
    x = 149,817,274,693.81/407,854.80
  6. Step 6: Final answer
    x = 367,329.93

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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.