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Finding the Fourth Proportional to 611,314.60, 917,409.30 and 256,583.20

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Solution

The fourth proportional to 611,314.60, 917,409.30 and 256,583.20 is: 385,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,314.60 : 917,409.30 = 256,583.20 : x
  2. Step 2: Convert to fraction form
    611,314.60/917,409.30 = 256,583.20/x
  3. Step 3: Cross multiply
    611,314.60x = 917,409.30 × 256,583.20
  4. Step 4: Simplify right side
    611,314.60x = 235,391,813,903.76
  5. Step 5: Solve for x
    x = 235,391,813,903.76/611,314.60
  6. Step 6: Final answer
    x = 385,058.39

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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.