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Finding the Fourth Proportional to 614,788.34, 922,263.15 and 240,762.74

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Solution

The fourth proportional to 614,788.34, 922,263.15 and 240,762.74 is: 361,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,788.34 : 922,263.15 = 240,762.74 : x
  2. Step 2: Convert to fraction form
    614,788.34/922,263.15 = 240,762.74/x
  3. Step 3: Cross multiply
    614,788.34x = 922,263.15 × 240,762.74
  4. Step 4: Simplify right side
    614,788.34x = 222,046,602,995.03
  5. Step 5: Solve for x
    x = 222,046,602,995.03/614,788.34
  6. Step 6: Final answer
    x = 361,175.69

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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.