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Finding the Fourth Proportional to 613,465, 846,513.66 and 341,470.24

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Solution

The fourth proportional to 613,465, 846,513.66 and 341,470.24 is: 471,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,465 : 846,513.66 = 341,470.24 : x
  2. Step 2: Convert to fraction form
    613,465/846,513.66 = 341,470.24/x
  3. Step 3: Cross multiply
    613,465x = 846,513.66 × 341,470.24
  4. Step 4: Simplify right side
    613,465x = 289,059,222,643.48
  5. Step 5: Solve for x
    x = 289,059,222,643.48/613,465
  6. Step 6: Final answer
    x = 471,191.06

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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.