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Finding the Fourth Proportional to 406,074.48, 560,376 and 224,782.58

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Solution

The fourth proportional to 406,074.48, 560,376 and 224,782.58 is: 310,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,074.48 : 560,376 = 224,782.58 : x
  2. Step 2: Convert to fraction form
    406,074.48/560,376 = 224,782.58/x
  3. Step 3: Cross multiply
    406,074.48x = 560,376 × 224,782.58
  4. Step 4: Simplify right side
    406,074.48x = 125,962,760,248.20
  5. Step 5: Solve for x
    x = 125,962,760,248.20/406,074.48
  6. Step 6: Final answer
    x = 310,196.20

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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.