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Finding the Fourth Proportional to 313,675.60, 470,513.40 and 307,454.80

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Solution

The fourth proportional to 313,675.60, 470,513.40 and 307,454.80 is: 461,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,675.60 : 470,513.40 = 307,454.80 : x
  2. Step 2: Convert to fraction form
    313,675.60/470,513.40 = 307,454.80/x
  3. Step 3: Cross multiply
    313,675.60x = 470,513.40 × 307,454.80
  4. Step 4: Simplify right side
    313,675.60x = 144,661,603,294.32
  5. Step 5: Solve for x
    x = 144,661,603,294.32/313,675.60
  6. Step 6: Final answer
    x = 461,182.20

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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.