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Finding the Fourth Proportional to 424,119, 585,285.44 and 242,833.71

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Solution

The fourth proportional to 424,119, 585,285.44 and 242,833.71 is: 335,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,119 : 585,285.44 = 242,833.71 : x
  2. Step 2: Convert to fraction form
    424,119/585,285.44 = 242,833.71/x
  3. Step 3: Cross multiply
    424,119x = 585,285.44 × 242,833.71
  4. Step 4: Simplify right side
    424,119x = 142,127,033,590.01
  5. Step 5: Solve for x
    x = 142,127,033,590.01/424,119
  6. Step 6: Final answer
    x = 335,111.22

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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.