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Finding the Fourth Proportional to 413,077, 569,590.92 and 285,531.16

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Solution

The fourth proportional to 413,077, 569,590.92 and 285,531.16 is: 393,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,077 : 569,590.92 = 285,531.16 : x
  2. Step 2: Convert to fraction form
    413,077/569,590.92 = 285,531.16/x
  3. Step 3: Cross multiply
    413,077x = 569,590.92 × 285,531.16
  4. Step 4: Simplify right side
    413,077x = 162,635,956,113.07
  5. Step 5: Solve for x
    x = 162,635,956,113.07/413,077
  6. Step 6: Final answer
    x = 393,718.26

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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.