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Finding the Fourth Proportional to 424,714.98, 586,106.76 and 233,728.38

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Solution

The fourth proportional to 424,714.98, 586,106.76 and 233,728.38 is: 322,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,714.98 : 586,106.76 = 233,728.38 : x
  2. Step 2: Convert to fraction form
    424,714.98/586,106.76 = 233,728.38/x
  3. Step 3: Cross multiply
    424,714.98x = 586,106.76 × 233,728.38
  4. Step 4: Simplify right side
    424,714.98x = 136,989,783,521.85
  5. Step 5: Solve for x
    x = 136,989,783,521.85/424,714.98
  6. Step 6: Final answer
    x = 322,545.21

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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.