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Finding the Fourth Proportional to 314,689.95, 472,035.39 and 240,232.86

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Solution

The fourth proportional to 314,689.95, 472,035.39 and 240,232.86 is: 360,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,689.95 : 472,035.39 = 240,232.86 : x
  2. Step 2: Convert to fraction form
    314,689.95/472,035.39 = 240,232.86/x
  3. Step 3: Cross multiply
    314,689.95x = 472,035.39 × 240,232.86
  4. Step 4: Simplify right side
    314,689.95x = 113,398,411,760.92
  5. Step 5: Solve for x
    x = 113,398,411,760.92/314,689.95
  6. Step 6: Final answer
    x = 360,349.64

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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.