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Finding the Fourth Proportional to 416,643.60, 621,306.78 and 412,854.60

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Solution

The fourth proportional to 416,643.60, 621,306.78 and 412,854.60 is: 615,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,643.60 : 621,306.78 = 412,854.60 : x
  2. Step 2: Convert to fraction form
    416,643.60/621,306.78 = 412,854.60/x
  3. Step 3: Cross multiply
    416,643.60x = 621,306.78 × 412,854.60
  4. Step 4: Simplify right side
    416,643.60x = 256,509,362,134.19
  5. Step 5: Solve for x
    x = 256,509,362,134.19/416,643.60
  6. Step 6: Final answer
    x = 615,656.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.