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Finding the Fourth Proportional to 355,643.60, 533,465.40 and 256,499.60

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Solution

The fourth proportional to 355,643.60, 533,465.40 and 256,499.60 is: 384,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,643.60 : 533,465.40 = 256,499.60 : x
  2. Step 2: Convert to fraction form
    355,643.60/533,465.40 = 256,499.60/x
  3. Step 3: Cross multiply
    355,643.60x = 533,465.40 × 256,499.60
  4. Step 4: Simplify right side
    355,643.60x = 136,833,661,713.84
  5. Step 5: Solve for x
    x = 136,833,661,713.84/355,643.60
  6. Step 6: Final answer
    x = 384,749.40

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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.