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Finding the Fourth Proportional to 257,411.86, 355,228.45 and 156,809.86

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Solution

The fourth proportional to 257,411.86, 355,228.45 and 156,809.86 is: 216,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.86 : 355,228.45 = 156,809.86 : x
  2. Step 2: Convert to fraction form
    257,411.86/355,228.45 = 156,809.86/x
  3. Step 3: Cross multiply
    257,411.86x = 355,228.45 × 156,809.86
  4. Step 4: Simplify right side
    257,411.86x = 55,703,323,512.52
  5. Step 5: Solve for x
    x = 55,703,323,512.52/257,411.86
  6. Step 6: Final answer
    x = 216,397.66

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1.5x scale

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.