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Finding the Fourth Proportional to 546,574.53, 754,860.97 and 416,121.40

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Solution

The fourth proportional to 546,574.53, 754,860.97 and 416,121.40 is: 574,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,574.53 : 754,860.97 = 416,121.40 : x
  2. Step 2: Convert to fraction form
    546,574.53/754,860.97 = 416,121.40/x
  3. Step 3: Cross multiply
    546,574.53x = 754,860.97 × 416,121.40
  4. Step 4: Simplify right side
    546,574.53x = 314,113,805,105.49
  5. Step 5: Solve for x
    x = 314,113,805,105.49/546,574.53
  6. Step 6: Final answer
    x = 574,695.28

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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.