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Finding the Fourth Proportional to 289,809.60, 434,714.40 and 278,145.60

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Solution

The fourth proportional to 289,809.60, 434,714.40 and 278,145.60 is: 417,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.60 : 434,714.40 = 278,145.60 : x
  2. Step 2: Convert to fraction form
    289,809.60/434,714.40 = 278,145.60/x
  3. Step 3: Cross multiply
    289,809.60x = 434,714.40 × 278,145.60
  4. Step 4: Simplify right side
    289,809.60x = 120,913,897,616.64
  5. Step 5: Solve for x
    x = 120,913,897,616.64/289,809.60
  6. Step 6: Final answer
    x = 417,218.40

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1.5x scale

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.