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Finding the Fourth Proportional to 280,411.83, 386,953.68 and 153,062.82

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Solution

The fourth proportional to 280,411.83, 386,953.68 and 153,062.82 is: 211,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,411.83 : 386,953.68 = 153,062.82 : x
  2. Step 2: Convert to fraction form
    280,411.83/386,953.68 = 153,062.82/x
  3. Step 3: Cross multiply
    280,411.83x = 386,953.68 × 153,062.82
  4. Step 4: Simplify right side
    280,411.83x = 59,228,221,470.18
  5. Step 5: Solve for x
    x = 59,228,221,470.18/280,411.83
  6. Step 6: Final answer
    x = 211,218.70

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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.