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Finding the Fourth Proportional to 406,424.54, 561,139.74 and 253,695.26

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Solution

The fourth proportional to 406,424.54, 561,139.74 and 253,695.26 is: 350,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,424.54 : 561,139.74 = 253,695.26 : x
  2. Step 2: Convert to fraction form
    406,424.54/561,139.74 = 253,695.26/x
  3. Step 3: Cross multiply
    406,424.54x = 561,139.74 × 253,695.26
  4. Step 4: Simplify right side
    406,424.54x = 142,358,492,235.63
  5. Step 5: Solve for x
    x = 142,358,492,235.63/406,424.54
  6. Step 6: Final answer
    x = 350,270.41

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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.