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Finding the Fourth Proportional to 424,001.76, 585,133.20 and 233,020

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Solution

The fourth proportional to 424,001.76, 585,133.20 and 233,020 is: 321,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,001.76 : 585,133.20 = 233,020 : x
  2. Step 2: Convert to fraction form
    424,001.76/585,133.20 = 233,020/x
  3. Step 3: Cross multiply
    424,001.76x = 585,133.20 × 233,020
  4. Step 4: Simplify right side
    424,001.76x = 136,347,738,264.00
  5. Step 5: Solve for x
    x = 136,347,738,264.00/424,001.76
  6. Step 6: Final answer
    x = 321,573.52

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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.