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Finding the Fourth Proportional to 341,101.53, 470,849.81 and 256,464.45

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Solution

The fourth proportional to 341,101.53, 470,849.81 and 256,464.45 is: 354,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,101.53 : 470,849.81 = 256,464.45 : x
  2. Step 2: Convert to fraction form
    341,101.53/470,849.81 = 256,464.45/x
  3. Step 3: Cross multiply
    341,101.53x = 470,849.81 × 256,464.45
  4. Step 4: Simplify right side
    341,101.53x = 120,756,236,271.93
  5. Step 5: Solve for x
    x = 120,756,236,271.93/341,101.53
  6. Step 6: Final answer
    x = 354,018.45

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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.