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Finding the Fourth Proportional to 424,714.90, 586,106.22 and 233,728.29

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Solution

The fourth proportional to 424,714.90, 586,106.22 and 233,728.29 is: 322,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,714.90 : 586,106.22 = 233,728.29 : x
  2. Step 2: Convert to fraction form
    424,714.90/586,106.22 = 233,728.29/x
  3. Step 3: Cross multiply
    424,714.90x = 586,106.22 × 233,728.29
  4. Step 4: Simplify right side
    424,714.90x = 136,989,607,633.34
  5. Step 5: Solve for x
    x = 136,989,607,633.34/424,714.90
  6. Step 6: Final answer
    x = 322,544.86

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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.