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Finding the Fourth Proportional to 410,095.02, 565,931.68 and 240,329

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Solution

The fourth proportional to 410,095.02, 565,931.68 and 240,329 is: 331,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,095.02 : 565,931.68 = 240,329 : x
  2. Step 2: Convert to fraction form
    410,095.02/565,931.68 = 240,329/x
  3. Step 3: Cross multiply
    410,095.02x = 565,931.68 × 240,329
  4. Step 4: Simplify right side
    410,095.02x = 136,009,794,722.72
  5. Step 5: Solve for x
    x = 136,009,794,722.72/410,095.02
  6. Step 6: Final answer
    x = 331,654.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.