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Finding the Fourth Proportional to 472,268.46, 651,724.74 and 257,407.86

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Solution

The fourth proportional to 472,268.46, 651,724.74 and 257,407.86 is: 355,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,268.46 : 651,724.74 = 257,407.86 : x
  2. Step 2: Convert to fraction form
    472,268.46/651,724.74 = 257,407.86/x
  3. Step 3: Cross multiply
    472,268.46x = 651,724.74 × 257,407.86
  4. Step 4: Simplify right side
    472,268.46x = 167,759,070,632.46
  5. Step 5: Solve for x
    x = 167,759,070,632.46/472,268.46
  6. Step 6: Final answer
    x = 355,219.72

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Why These Related Problems?

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