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Finding the Fourth Proportional to 411,888.16, 617,922.80 and 234,478.24

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Solution

The fourth proportional to 411,888.16, 617,922.80 and 234,478.24 is: 351,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,888.16 : 617,922.80 = 234,478.24 : x
  2. Step 2: Convert to fraction form
    411,888.16/617,922.80 = 234,478.24/x
  3. Step 3: Cross multiply
    411,888.16x = 617,922.80 × 234,478.24
  4. Step 4: Simplify right side
    411,888.16x = 144,889,450,599.87
  5. Step 5: Solve for x
    x = 144,889,450,599.87/411,888.16
  6. Step 6: Final answer
    x = 351,768.91

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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.