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Finding the Fourth Proportional to 424,185.60, 585,368 and 233,197.12

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Solution

The fourth proportional to 424,185.60, 585,368 and 233,197.12 is: 321,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,185.60 : 585,368 = 233,197.12 : x
  2. Step 2: Convert to fraction form
    424,185.60/585,368 = 233,197.12/x
  3. Step 3: Cross multiply
    424,185.60x = 585,368 × 233,197.12
  4. Step 4: Simplify right side
    424,185.60x = 136,506,131,740.16
  5. Step 5: Solve for x
    x = 136,506,131,740.16/424,185.60
  6. Step 6: Final answer
    x = 321,807.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.