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Finding the Fourth Proportional to 295,567.87, 407,024.56 and 256,787.76

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Solution

The fourth proportional to 295,567.87, 407,024.56 and 256,787.76 is: 353,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,567.87 : 407,024.56 = 256,787.76 : x
  2. Step 2: Convert to fraction form
    295,567.87/407,024.56 = 256,787.76/x
  3. Step 3: Cross multiply
    295,567.87x = 407,024.56 × 256,787.76
  4. Step 4: Simplify right side
    295,567.87x = 104,518,925,027.39
  5. Step 5: Solve for x
    x = 104,518,925,027.39/295,567.87
  6. Step 6: Final answer
    x = 353,620.73

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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.