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Finding the Fourth Proportional to 416,058.80, 624,088.20 and 411,911.60

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Solution

The fourth proportional to 416,058.80, 624,088.20 and 411,911.60 is: 617,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,058.80 : 624,088.20 = 411,911.60 : x
  2. Step 2: Convert to fraction form
    416,058.80/624,088.20 = 411,911.60/x
  3. Step 3: Cross multiply
    416,058.80x = 624,088.20 × 411,911.60
  4. Step 4: Simplify right side
    416,058.80x = 257,069,169,003.12
  5. Step 5: Solve for x
    x = 257,069,169,003.12/416,058.80
  6. Step 6: Final answer
    x = 617,867.40

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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.