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Finding the Fourth Proportional to 257,256.08, 383,602.90 and 240,097.04

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Solution

The fourth proportional to 257,256.08, 383,602.90 and 240,097.04 is: 358,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,256.08 : 383,602.90 = 240,097.04 : x
  2. Step 2: Convert to fraction form
    257,256.08/383,602.90 = 240,097.04/x
  3. Step 3: Cross multiply
    257,256.08x = 383,602.90 × 240,097.04
  4. Step 4: Simplify right side
    257,256.08x = 92,101,920,825.42
  5. Step 5: Solve for x
    x = 92,101,920,825.42/257,256.08
  6. Step 6: Final answer
    x = 358,016.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.