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Finding the Fourth Proportional to 278,714.83, 384,786.06 and 183,498.32

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Solution

The fourth proportional to 278,714.83, 384,786.06 and 183,498.32 is: 253,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,714.83 : 384,786.06 = 183,498.32 : x
  2. Step 2: Convert to fraction form
    278,714.83/384,786.06 = 183,498.32/x
  3. Step 3: Cross multiply
    278,714.83x = 384,786.06 × 183,498.32
  4. Step 4: Simplify right side
    278,714.83x = 70,607,592,728.00
  5. Step 5: Solve for x
    x = 70,607,592,728.00/278,714.83
  6. Step 6: Final answer
    x = 253,332.75

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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.