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Finding the Fourth Proportional to 424,398.58, 585,674.93 and 233,415.16

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Solution

The fourth proportional to 424,398.58, 585,674.93 and 233,415.16 is: 322,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,398.58 : 585,674.93 = 233,415.16 : x
  2. Step 2: Convert to fraction form
    424,398.58/585,674.93 = 233,415.16/x
  3. Step 3: Cross multiply
    424,398.58x = 585,674.93 × 233,415.16
  4. Step 4: Simplify right side
    424,398.58x = 136,705,406,613.29
  5. Step 5: Solve for x
    x = 136,705,406,613.29/424,398.58
  6. Step 6: Final answer
    x = 322,115.61

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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.