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Finding the Fourth Proportional to 540,578.64, 746,043.48 and 314,268.24

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Solution

The fourth proportional to 540,578.64, 746,043.48 and 314,268.24 is: 433,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,578.64 : 746,043.48 = 314,268.24 : x
  2. Step 2: Convert to fraction form
    540,578.64/746,043.48 = 314,268.24/x
  3. Step 3: Cross multiply
    540,578.64x = 746,043.48 × 314,268.24
  4. Step 4: Simplify right side
    540,578.64x = 234,457,771,423.08
  5. Step 5: Solve for x
    x = 234,457,771,423.08/540,578.64
  6. Step 6: Final answer
    x = 433,716.31

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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.