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Finding the Fourth Proportional to 295,246.42, 442,597.11 and 117,710.50

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Solution

The fourth proportional to 295,246.42, 442,597.11 and 117,710.50 is: 176,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,246.42 : 442,597.11 = 117,710.50 : x
  2. Step 2: Convert to fraction form
    295,246.42/442,597.11 = 117,710.50/x
  3. Step 3: Cross multiply
    295,246.42x = 442,597.11 × 117,710.50
  4. Step 4: Simplify right side
    295,246.42x = 52,098,327,116.66
  5. Step 5: Solve for x
    x = 52,098,327,116.66/295,246.42
  6. Step 6: Final answer
    x = 176,457.10

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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.