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Finding the Fourth Proportional to 416,106.40, 624,159.60 and 346,064.80

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Solution

The fourth proportional to 416,106.40, 624,159.60 and 346,064.80 is: 519,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,106.40 : 624,159.60 = 346,064.80 : x
  2. Step 2: Convert to fraction form
    416,106.40/624,159.60 = 346,064.80/x
  3. Step 3: Cross multiply
    416,106.40x = 624,159.60 × 346,064.80
  4. Step 4: Simplify right side
    416,106.40x = 215,999,667,142.08
  5. Step 5: Solve for x
    x = 215,999,667,142.08/416,106.40
  6. Step 6: Final answer
    x = 519,097.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.