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Finding the Fourth Proportional to 424,531.76, 585,830.72 and 233,514.32

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Solution

The fourth proportional to 424,531.76, 585,830.72 and 233,514.32 is: 322,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,531.76 : 585,830.72 = 233,514.32 : x
  2. Step 2: Convert to fraction form
    424,531.76/585,830.72 = 233,514.32/x
  3. Step 3: Cross multiply
    424,531.76x = 585,830.72 × 233,514.32
  4. Step 4: Simplify right side
    424,531.76x = 136,799,862,215.91
  5. Step 5: Solve for x
    x = 136,799,862,215.91/424,531.76
  6. Step 6: Final answer
    x = 322,237.05

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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.