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Finding the Fourth Proportional to 416,006.60, 624,009.90 and 317,702.60

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Solution

The fourth proportional to 416,006.60, 624,009.90 and 317,702.60 is: 476,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,006.60 : 624,009.90 = 317,702.60 : x
  2. Step 2: Convert to fraction form
    416,006.60/624,009.90 = 317,702.60/x
  3. Step 3: Cross multiply
    416,006.60x = 624,009.90 × 317,702.60
  4. Step 4: Simplify right side
    416,006.60x = 198,249,567,655.74
  5. Step 5: Solve for x
    x = 198,249,567,655.74/416,006.60
  6. Step 6: Final answer
    x = 476,553.90

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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.