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Finding the Fourth Proportional to 406,384.92, 561,085.20 and 253,655.76

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Solution

The fourth proportional to 406,384.92, 561,085.20 and 253,655.76 is: 350,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,384.92 : 561,085.20 = 253,655.76 : x
  2. Step 2: Convert to fraction form
    406,384.92/561,085.20 = 253,655.76/x
  3. Step 3: Cross multiply
    406,384.92x = 561,085.20 × 253,655.76
  4. Step 4: Simplify right side
    406,384.92x = 142,322,492,830.75
  5. Step 5: Solve for x
    x = 142,322,492,830.75/406,384.92
  6. Step 6: Final answer
    x = 350,215.98

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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.